The radii of a circular cone and a right circular cylinder are in the ratio 2 : 3. If the ratio of the heights of the cone and cylinder is 3 : 4, then what is the ratio of the volumes of the cone and the cylinder?
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. 1 : 9
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Understanding |
Application |
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Ratio of radii of a cone and a cylinder = 2 : 3 |
Suppose radii of cone and cylinder are 2r and 3r. |
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Ratio of the heights of the cone and the cylinder = 3 : 4 |
Suppose radii of cone and cylinder are 3h and 4h. |
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Ratio of the volumes of the cone and the cylinder:
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[π/3(2r)23h]/[π(3r)24h] ⇒ [4hr2]/[36hr2] ⇒ 4/36 ⇒ 1/9 |