Volume of a Sphere

The outer and the inner radii of a hollow sphere are $12 \mathrm{cm}$ and $10 \mathrm{cm}$.  Find its volume upto two decimal point without unit.

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

The volume of sphere is $38808 {\mathrm{cm}}^3$. Its curved surface area is [Use $\mathrm{\pi }=\frac{22}{7}$]

The diameter of a sphere is $0.7 \mathrm{cm}$. If $3000$ spheres, completely filled with water, are drawn out from a water tank. Find the volume of water drawn out. Give the answer in ${\mathrm{cm}}^3$.

The surface area of a sphere is $5544 {\mathrm{cm}}^2$. The volume of the sphere is $\mathrm{k} {\mathrm{cm}}^3$. Find the value of $\mathrm{k}$.

A hollow spherical shell is $2 \mathrm{cm}$ thick. If its outer radius is $8 \mathrm{cm}$, then the volume of the metal used in it is $\mathrm{k} {\mathrm{cm}}^3$. Find the value of $\mathrm{k}$.

The volume of the sphere whose surface area is $616 {\mathrm{cm}}^2$, is $\mathrm{k} {\mathrm{cm}}^3$. Find the value of $\mathrm{k}$.

The diameter of a sphere is $6 \mathrm{cm}$, the volume of sphere will be

A shot-put is metallic sphere of radius $4.9 \mathrm{c}\mathrm{m}$. If the density of the metal is $7.8 \mathrm{g} \mathrm{per} {\mathrm{cm}}^3$, find the approximate(correct up to two decimal places) mass of the shot-put in $\mathrm{kg}$ corrected to two decimal places..

Let $A$ and $B$ be two solid spheres such that the surface area of $B$ is $300\%$ higher than the surface area of $A$. The volume of $A$ is found to be $K\%$ lower than the volume of $B$ The value of $K$ must be

If a sphere is inscribed in a cube, then prove that the ratio of the volume of the cube to the volume of the sphere will be $6:\mathrm{\pi }$.

A cylindrical vessel of radius $4 \mathrm{cm}$ contains water. A solid sphere of radius $3 \mathrm{cm}$ is lowered into the water until it is completely immersed. The water level in the vessel will rise by

A solid sphere of radius $6 \mathrm{c}\mathrm{m}$ is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is $5\mathrm{c}\mathrm{m}$ and its height is $32\mathrm{c}\mathrm{m}$ , find the uniform thickness of the cylinder.

A sphere of diameter $10 \mathrm{c}\mathrm{m}$ weighs $4.4 \mathrm{k}\mathrm{g}$ . The weight of a sphere of the same material whose diameter is $6 \mathrm{c}\mathrm{m}$ weighs

The ratio of the volume and surface area of a sphere of unit radius without considering units is

A cylindrical vessel $60 \mathrm{cm}$ in diameter is partially filled with water. A sphere of $60 \mathrm{cm}$ in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder?

The largest sphere is cut off from a cube of side $5 \mathrm{cm}$. The volume of the sphere will be

A spherical ball of lead, $3 \mathrm{c}\mathrm{m}$in diameter is melted and recast into three spherical balls. The diameter of two of these are $1.5 \mathrm{c}\mathrm{m}$ and $2 \mathrm{c}\mathrm{m}$ respectively. The diameter of the third ball is

If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of the second sphere?

The largest sphere is carved out of a cube of side 8.4 cm. Find the volume of the sphere.