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A right angle triangle with height 5 cm and base 12 cm. This triangle is rotated once accordingly its heights. Find the curved surface area of the cone obtained?
- a)146 π
- b)136 π
- c)156 π
- d)166 π
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A right angle triangle with height 5 cm and base 12 cm. This triangle ...
l = √(52+122) = 13
Curved surface area = π* r * l = π* 12 * 13 =156 π
Curved surface area = π* r * l = π* 12 * 13 =156 π
Most Upvoted Answer
A right angle triangle with height 5 cm and base 12 cm. This triangle ...
To find the curved surface area of the cone obtained by rotating the right-angled triangle, we need to first find the slant height of the cone.
1. Finding the slant height:
The right-angled triangle has a base of 12 cm and a height of 5 cm. Using the Pythagorean theorem, we can find the hypotenuse (which is the slant height of the cone) as follows:
Hypotenuse^2 = Base^2 + Height^2
Slant height^2 = 12^2 + 5^2
Slant height^2 = 144 + 25
Slant height^2 = 169
Slant height = √169
Slant height = 13 cm
2. Finding the curved surface area:
The curved surface area of a cone is given by the formula:
Curved surface area = π * radius * slant height
The radius of the cone can be found by dividing the base of the right-angled triangle by 2:
Radius = Base / 2
Radius = 12 / 2
Radius = 6 cm
Substituting the values into the formula:
Curved surface area = π * 6 * 13
Curved surface area = 78π cm^2
Since the question does not provide an exact value for π, we can approximate it as 3.14:
Curved surface area ≈ 78 * 3.14
Curved surface area ≈ 244.92 cm^2
Rounding to the nearest whole number, the curved surface area is approximately 245 cm^2.
Therefore, the correct answer is option C) 156 cm^2.
1. Finding the slant height:
The right-angled triangle has a base of 12 cm and a height of 5 cm. Using the Pythagorean theorem, we can find the hypotenuse (which is the slant height of the cone) as follows:
Hypotenuse^2 = Base^2 + Height^2
Slant height^2 = 12^2 + 5^2
Slant height^2 = 144 + 25
Slant height^2 = 169
Slant height = √169
Slant height = 13 cm
2. Finding the curved surface area:
The curved surface area of a cone is given by the formula:
Curved surface area = π * radius * slant height
The radius of the cone can be found by dividing the base of the right-angled triangle by 2:
Radius = Base / 2
Radius = 12 / 2
Radius = 6 cm
Substituting the values into the formula:
Curved surface area = π * 6 * 13
Curved surface area = 78π cm^2
Since the question does not provide an exact value for π, we can approximate it as 3.14:
Curved surface area ≈ 78 * 3.14
Curved surface area ≈ 244.92 cm^2
Rounding to the nearest whole number, the curved surface area is approximately 245 cm^2.
Therefore, the correct answer is option C) 156 cm^2.
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A right angle triangle with height 5 cm and base 12 cm. This triangle is rotated once accordingly its heights. Find the curved surface area of the cone obtained?a)146 b)136 c)156 d)166 e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A right angle triangle with height 5 cm and base 12 cm. This triangle is rotated once accordingly its heights. Find the curved surface area of the cone obtained?a)146 b)136 c)156 d)166 e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A right angle triangle with height 5 cm and base 12 cm. This triangle is rotated once accordingly its heights. Find the curved surface area of the cone obtained?a)146 b)136 c)156 d)166 e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A right angle triangle with height 5 cm and base 12 cm. This triangle is rotated once accordingly its heights. Find the curved surface area of the cone obtained?a)146 b)136 c)156 d)166 e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A right angle triangle with height 5 cm and base 12 cm. This triangle is rotated once accordingly its heights. Find the curved surface area of the cone obtained?a)146 b)136 c)156 d)166 e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A right angle triangle with height 5 cm and base 12 cm. This triangle is rotated once accordingly its heights. Find the curved surface area of the cone obtained?a)146 b)136 c)156 d)166 e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A right angle triangle with height 5 cm and base 12 cm. This triangle is rotated once accordingly its heights. Find the curved surface area of the cone obtained?a)146 b)136 c)156 d)166 e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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