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Radius of the base of a right circular c...

Radius of the base of a right circular cone and a sphere is each equal to r. If the sphere and the cone have the same volume, then what is the height of the cone?
एक लम्ब वृत्तीय शंकु के आधार एवं एक गोले की त्रिज्या दोनों r के बराबर है | यदि गोले और शंकु का आयतन समान है, तो शंकु की ऊंचाई कितनी है ?

A

3a

B

4a

C

`(7)/(4)a`

D

`(7)/(3)a`

Text Solution

Verified by Experts

The correct Answer is:
B
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The radii of a right circular cone and a right circular cylinder are in the ratio 2:3. If the ratio of heights of the cone and the cylinder is 3:4, then what is the ratio of the volumes of the cone and the cylinder? एक लम्ब वृत्तीय शंकु तथा लम्ब वृत्तीय बेलन की त्रिज्याएँ 2 : 3 के अनुपात में हैं | यदि शंकु तथा बेलन की ऊंचाई में 3 : 4 का अनुपात है, तो शंकु तथा बेलन के आयतन में क्या अनुपात होगा ?

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