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DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .
Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).
- a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
- b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
- c)Assertion (A) is true but reason (R) is false.
- d)Assertion (A) is false but reason (R) is true.
Correct answer is option 'A'. Can you explain this answer?
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DIRECTION : In the following questions, a statement of assertion (A) ...
Total surface area = 2prh +2pr2
View all questions of this test
= 2p r (h + r)
= 3872 cm2
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DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion and Reason:
Assertion (A): The total surface area of a cylinder with a base radius of 14 cm and height of 30 cm is 3872 cm².
Reason (R): The formula for the total surface area of a cylinder is given by 2πrh + 2πr², where r is the radius and h is the height of the cylinder.
Explanation:
To determine the correctness of the assertion and reason, let's calculate the total surface area of the given cylinder using the formula mentioned in the reason.
Given:
Radius of the base (r) = 14 cm
Height of the cylinder (h) = 30 cm
Using the formula for the total surface area of a cylinder:
Total surface area = 2πrh + 2πr²
Substituting the given values into the formula:
Total surface area = 2π(14)(30) + 2π(14)²
= 2π(420) + 2π(196)
= 840π + 392π
= 1232π cm²
Now, let's calculate the approximate value of the total surface area using a calculator:
Total surface area ≈ 3871.58 cm²
Comparison:
The calculated total surface area is approximately 3871.58 cm², which is close to the value provided in the assertion (3872 cm²). Hence, the assertion is correct.
The reason states the correct formula for calculating the total surface area of a cylinder, which is 2πrh + 2πr². This formula is used to calculate the total surface area in the above calculation. Therefore, the reason is the correct explanation for the assertion.
Conclusion:
Both the assertion and the reason are true, and the reason is the correct explanation for the assertion. Hence, the correct answer is option 'A'.
Assertion (A): The total surface area of a cylinder with a base radius of 14 cm and height of 30 cm is 3872 cm².
Reason (R): The formula for the total surface area of a cylinder is given by 2πrh + 2πr², where r is the radius and h is the height of the cylinder.
Explanation:
To determine the correctness of the assertion and reason, let's calculate the total surface area of the given cylinder using the formula mentioned in the reason.
Given:
Radius of the base (r) = 14 cm
Height of the cylinder (h) = 30 cm
Using the formula for the total surface area of a cylinder:
Total surface area = 2πrh + 2πr²
Substituting the given values into the formula:
Total surface area = 2π(14)(30) + 2π(14)²
= 2π(420) + 2π(196)
= 840π + 392π
= 1232π cm²
Now, let's calculate the approximate value of the total surface area using a calculator:
Total surface area ≈ 3871.58 cm²
Comparison:
The calculated total surface area is approximately 3871.58 cm², which is close to the value provided in the assertion (3872 cm²). Hence, the assertion is correct.
The reason states the correct formula for calculating the total surface area of a cylinder, which is 2πrh + 2πr². This formula is used to calculate the total surface area in the above calculation. Therefore, the reason is the correct explanation for the assertion.
Conclusion:
Both the assertion and the reason are true, and the reason is the correct explanation for the assertion. Hence, the correct answer is option 'A'.
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DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?
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DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?.
DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?.
Solutions for DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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Here you can find the meaning of DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : Total surface area of the cylinder having radius of the base 14 cm and height 30 cm is 3872 cm2 .Reason : If r be the radius and h be the height of the cylinder, then total surface area = (2prh +2pr2).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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