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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

7r

B

4r

C

2r

D

3r

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The volume of a right circular cone is equal to that of a sphere, whose radius is half the radius of the base of the cone. What is the ratio of the radius of the base to the height of the cone ? एक लम्ब वृत्तीय शंकु का आयतन उस गोले के आयतन के बराबर है, जिसकी त्रिज्या शंकु के आधार की त्रिज्या से आधी है | शंकु के आधार की त्रिज्या और शंकु की ऊंचाई में क्या अनुपात है ?

A plane divides a right circular cone into two parts of equal volume. If the plane is parallel to the base. then the ratio, in which the height of the cone is divided, is- एक तल लंब वृत्तीय शंकु को समान आयतन वाले दो भागों में विभाजित करता है। यदि तल आधार के समांतर हो, तो शंकु की ऊंचाई को किस अनुपात में,विभाजित किया जाएगा?

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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The volumes of a sphere and a right circular cylinder is equal. The radii of the sphere and the cylinder are 21 cm and 14 cm respectively. The height of the cylinder is : किसी गोले और किसी लम्ब वृतीय बेलन (सिलिंडर) का आयतन सामान है | गोला और बेलन की त्रिज्या क्रमसः 21 cmऔर 14 cm है | बेलन की ऊंचाई कितनी है?

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If the radius of the base of a cone is doubled, and the volume of the new cone is three times the volume of the original cone, then what will be the ratio of the height of the original cone to that of the new cone ? यदि किसी शंकु के आधार की त्रिज्या दोगुनी कर दी गयी है , और नए शंकु का आयतन आरंभिक शंकु के आयतन का तिगुना है, तो आरंभिक शंकु और नए शंकु की ऊँचाइयों के बीच क्या अनुपात होगा ?

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