Let V and S be the volume and surface respectively of a sphere of radius r. Prove that, `2(dv)/(dt) = r(ds)/(dt)`.

Let V and S be the volume and surfacea area of a sphere with radius respectivley. Prove that, 2(dV)/(dt) = r (ds)/(dt)

The volume of a solid sphere of radius 2r units is

Find the volume of the largest cylinder inscribed in the sphere of radius r cm.

find the volume of the largest cylinder inscribed in the sphere of radius r cm.

The volume of a solid sphere of diameter R is

Volume of a cuboid is V. Length , breadth and height are a,b, and c respectively. If tottal surface area of S, prove that = 1/V = 2/S(1/a+1/b+1/c) .

Let S be the sum, P the product, and R the sum of reciprocals of n terms in a G.P. Prove that P^2R^n=S^ndot

Volume of a sphere varies directly with cube of length of its radius and surface area of sphere varies directly with the square of the length of radius. Prove that the square of volume of sphere varies directly with cube of its surface area.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3))