Class 10 Exam > Class 10 Questions > Directions : In the following questions, A s...
Start Learning for Free
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.
Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.
- a)Both A and R are true and R is the correct explanation of A.
- b)Both A and R are true and R is not correct explanation of A.
- c)A is true but R is false.
- d)A is false but R is true.
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Directions : In the following questions, A statement of Assertion (A)...
Let r be the radius of the sphere, Volume of sphere = Volume of the cuboid
View all questions of this test
⇒ 
⇒ 
⇒ r = 21 cm, which is true.
The reason is also true but it doesn’t explain the assertion as the formula given is of cylinder.
Therefore, Both A and R are true and R is not correct explanation for A.
Most Upvoted Answer
Directions : In the following questions, A statement of Assertion (A)...
A: A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.
R: Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.
To solve this problem, we need to calculate the volume of the cuboid and the volume of the sphere and then compare them.
Volume of the cuboid:
Given dimensions of the cuboid are 49 cm × 33 cm × 24 cm.
Volume of cuboid = length × breadth × height
= 49 cm × 33 cm × 24 cm
= 38712 cm³
Volume of the sphere:
Let the radius of the sphere be 'R'.
Volume of sphere = (4/3)πR³
According to the given information, the solid iron is melted to form a solid sphere. This means that the volume of the sphere will be equal to the volume of the cuboid.
Therefore,
(4/3)πR³ = 38712 cm³
Now, we can solve this equation to find the value of 'R' (radius of the sphere).
Solving the equation:
(4/3)πR³ = 38712 cm³
R³ = (38712 cm³ × 3) / (4π)
R³ = 29034 cm³
R = ∛(29034 cm³)
R ≈ 31.11 cm
The radius of the sphere is approximately 31.11 cm, which is not equal to 21 cm. Therefore, the given statement of assertion is false.
Conclusion:
The statement of reason is correct as it provides the formula to calculate the volume of the cylinder. However, the statement of assertion is false as the radius of the sphere is not 21 cm, but approximately 31.11 cm. Hence, option B is the correct answer.
R: Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.
To solve this problem, we need to calculate the volume of the cuboid and the volume of the sphere and then compare them.
Volume of the cuboid:
Given dimensions of the cuboid are 49 cm × 33 cm × 24 cm.
Volume of cuboid = length × breadth × height
= 49 cm × 33 cm × 24 cm
= 38712 cm³
Volume of the sphere:
Let the radius of the sphere be 'R'.
Volume of sphere = (4/3)πR³
According to the given information, the solid iron is melted to form a solid sphere. This means that the volume of the sphere will be equal to the volume of the cuboid.
Therefore,
(4/3)πR³ = 38712 cm³
Now, we can solve this equation to find the value of 'R' (radius of the sphere).
Solving the equation:
(4/3)πR³ = 38712 cm³
R³ = (38712 cm³ × 3) / (4π)
R³ = 29034 cm³
R = ∛(29034 cm³)
R ≈ 31.11 cm
The radius of the sphere is approximately 31.11 cm, which is not equal to 21 cm. Therefore, the given statement of assertion is false.
Conclusion:
The statement of reason is correct as it provides the formula to calculate the volume of the cylinder. However, the statement of assertion is false as the radius of the sphere is not 21 cm, but approximately 31.11 cm. Hence, option B is the correct answer.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?
Question Description
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. 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 Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. 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 Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?.
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. 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 Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. 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 Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): A solid iron is in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm is melted to form a solid sphere. Then the radius of sphere will be 21 cm.Reason (R): Volume of cylinder = πr2h, r is the radius of the cylinder and h is the height of the cylinder.a)Both A and R are true and R is the correct explanation of A.b)Both A and R are true and R is not correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup