Questions on Cylinder,cone & sphere

Find the ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height ?

As shown in the adjacent figure, a sphere is placed in a cylinder. It touches the top, bottom and the curved surface of the cylinder. If radius of the base of the cylinder is 'r', (i) what is ratio of the radii of the sphere and the cylinder? (ii)what is the ratio of the curved surface area of the cylinder and the surface area of the sphere? (iii) what is the ratio of the volumes of the cylinder and the sphere?

The diameter and height of a right circular cylinder are equal to the diameter of a sphere. Find the ratio of volumes of cylinder and sphere.

A cylinder and a hollow sphere are placed on a surface. If the height of the cylinder is equal to the diameter of the sphere, what is the ratio of the heights of centre of gravity of the cylinder and the sphere from the surfaced?

How many vertices does each of the following solids have? (a) cone (b) Cylinder (c ) Sphere (e) Tetrhedron (f) Hexagonal Prism

The radius of cylinder of maximum volumne which can be inscribed in a right circular cone of radius R and height H ( axis of cylinder and cone are same ) H given by

Volume Of Cylinder|Questions|Volume Of Cone|Questions|Volume Of Sphere|Questions|OMR

A sphere, a cylinder and a cone having same radius and height of cylinder and cone are equal to diameter of sphere. Ratio of their volume are