A sphere of maximum volume is cut out from a solid hemisphere of radius `r` . The ratio of the volume of the hemisphere to that of the cut out sphere is: (a) 3 : 2 (b) 4 : 1 (c) 4 : 3 (d) 7 : 4

A sphere of maximum volume is cut out from a solid hemisphere. What is the ratio of the volume of the sphere to that of the remaining solid?

A sphere of maximum volume is cut out from a solid hemisphere. What is the ratio of the volume of the sphere to that of the remaining solid ? किसी ठोस अर्धगोले से अधिकतम आयतन वाला एक गोला काटा जाता है | गोले के आयतन एवं शेष बचे ठोस के आयतन के बीच अनुपात ज्ञात करें |

The volume of a hemisphere is four times that of a sphere. Find the ratio of the radius of the hemisphere to that of the sphere.

If the ratio of the volumes of the spheres is 8:27, then the ratio of their surface areas is a )4:9 b) 9:4 c) 4:3 d 2:9

Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r.

The ratio of the total surface area of a sphere and a hemisphere of same radius is 2:1 (b) 3:2 (c) 4:1 (d) 4:3

If the ratio of volumes of two spheres is 1:8, then the ratio of their surface area is 1:2 (b) 1:4 (c) 1:8 (d) 1:16