R. D. Sharma Solutions for Chapter: Surface Area and Volume of a Sphere, Exercise 4: MULTIPLE CHOICE QUESTIONS (MCQs)

If the surface area of a sphere is $144\pi {\mathrm{m}}^2$, then its volume (in ${\mathrm{m}}^3$) is

If a solid sphere of radius $10 \mathrm{cm}$ is moulded into $8$ spherical solid balls of equal radius, then the surface area of each ball is $k\mathrm{\pi } {\mathrm{cm}}^2$, then find the value of $k$.

If a sphere is inscribed in a cube, then the ratio of the volume of the sphere to the volume of the cube is

If a solid sphere of radius $r$ is melted and cast into the shape of a solid cone of height $r$, then the radius of the base of the cone is

A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is $r$, then the volume of the cylinder is

The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is

A cone and a hemisphere have equal bases and equal volumes the ratio of their heights is

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is