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A right circular cone of base radius 12 cm is cut at the height of 8 cm and made into a frustum. Then find the volume (in cm3) of original cone if the radius of smaller cone is cut is 8 cm.
- a)1152π
- b)576π
- c)256π
- d)154π
Correct answer is option 'A'. Can you explain this answer?
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The volume of a frustum of a cone can be calculated using the formula:
V = (1/3)πh(R^2 + r^2 + Rr)
where V is the volume, h is the height of the frustum, R is the radius of the larger base, and r is the radius of the smaller base.
In this case, the height of the frustum is 8 cm, the radius of the larger base is 12 cm, and the radius of the smaller base is 8 cm.
V = (1/3)π(8)(12^2 + 8^2 + 12*8)
V = (1/3)π(8)(144 + 64 + 96)
V = (1/3)π(8)(304)
V = (1/3)(8)(304π)
V = (8/3)(304π)
V ≈ 256π cm^3
Therefore, the volume of the original cone is approximately 256π cm^3.
V = (1/3)πh(R^2 + r^2 + Rr)
where V is the volume, h is the height of the frustum, R is the radius of the larger base, and r is the radius of the smaller base.
In this case, the height of the frustum is 8 cm, the radius of the larger base is 12 cm, and the radius of the smaller base is 8 cm.
V = (1/3)π(8)(12^2 + 8^2 + 12*8)
V = (1/3)π(8)(144 + 64 + 96)
V = (1/3)π(8)(304)
V = (1/3)(8)(304π)
V = (8/3)(304π)
V ≈ 256π cm^3
Therefore, the volume of the original cone is approximately 256π cm^3.
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A right circular cone of base radius 12 cm is cut at the height of 8 cm and made into a frustum. Then find the volume (in cm3) of original cone if the radius of smaller cone is cut is 8 cm.a)1152πb)576πc)256πd)154πCorrect answer is option 'A'. Can you explain this answer?
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A right circular cone of base radius 12 cm is cut at the height of 8 cm and made into a frustum. Then find the volume (in cm3) of original cone if the radius of smaller cone is cut is 8 cm.a)1152πb)576πc)256πd)154πCorrect answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A right circular cone of base radius 12 cm is cut at the height of 8 cm and made into a frustum. Then find the volume (in cm3) of original cone if the radius of smaller cone is cut is 8 cm.a)1152πb)576πc)256πd)154πCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A right circular cone of base radius 12 cm is cut at the height of 8 cm and made into a frustum. Then find the volume (in cm3) of original cone if the radius of smaller cone is cut is 8 cm.a)1152πb)576πc)256πd)154πCorrect answer is option 'A'. Can you explain this answer?.
A right circular cone of base radius 12 cm is cut at the height of 8 cm and made into a frustum. Then find the volume (in cm3) of original cone if the radius of smaller cone is cut is 8 cm.a)1152πb)576πc)256πd)154πCorrect answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A right circular cone of base radius 12 cm is cut at the height of 8 cm and made into a frustum. Then find the volume (in cm3) of original cone if the radius of smaller cone is cut is 8 cm.a)1152πb)576πc)256πd)154πCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A right circular cone of base radius 12 cm is cut at the height of 8 cm and made into a frustum. Then find the volume (in cm3) of original cone if the radius of smaller cone is cut is 8 cm.a)1152πb)576πc)256πd)154πCorrect answer is option 'A'. Can you explain this answer?.
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