Volume of a Sphere

The radius of a sphere is $10 \mathrm{cm}$. If its radius is increased by $1 \mathrm{cm}$, the volume of the sphere is increased by

The water for a factory is stored in a hemispherical tank whose internal diameter is $14 m$. The tank contains $50 \mathrm{k}\mathrm{l}$ of water. Water is pumped into the tank to full to its capacity. Calculate the volume of water pumped into the tank.

Marbles of diameter $1.4 \mathrm{c}\mathrm{m}$ are dropped into a beaker containing some water and are fully submerged. The diameter of the beaker is $7 \mathrm{c}\mathrm{m}$. Find how many marbles have been dropped into it. if water rises by $56 \mathrm{c}\mathrm{m}$.

A hemispherical tank full of water is emptied by a pipe at the rate of $3\frac{3}{7}$ litres per second. How much time will it take to empty two third of tank, if it is $6 \mathrm{m}$ in diameter? (Take $\pi =\frac{22}{7}$)

A cube of side $4 \mathrm{c}\mathrm{m}$ contains a sphere touching its sides. Find the volume of the gap in between.

A spherical hall of radius $3 \mathrm{c}\mathrm{m}$ is melted and recast into three spherical balls. The radii of two of these balls are $1.5 \mathrm{c}\mathrm{m}$ and $2 \mathrm{c}\mathrm{m}$. Find the radius of the third hall.

A hemispherical tank is made up of an iron sheet $1 \mathrm{c}\mathrm{m}$ thick. If the inner radius is $1 m$, then find the volume of iron used to make the tank.

The largest sphere is carved out of a cube of side $10.5\mathrm{}\mathrm{c}\mathrm{m}$. Find the volume of the sphere.

How many spherical bullets can be made out of a solid cube of lead whose edge measures $44 \mathrm{c}\mathrm{m},$ each bullet being $4 \mathrm{c}\mathrm{m}$ in diameter?

A boy has a spherical sweet of radius $4 \mathrm{c}\mathrm{m}$. A girl has $8$ spherical sweets each of radius $2 \mathrm{cm}$. Find the ratio of the volume of the sweets the boy has to the sweets the girl has.

Find the volume of a sphere whose surface area is $154 \mathrm{c}{\mathrm{m}}^2.$

The volume of a sphere is $38808 \mathrm{c}\mathrm{u} \mathrm{c}\mathrm{m}$. Find its surface area.

The volume of a sphere is $4581 {\mathrm{m}}^3$. How much should its radius the reduced be that its volume becomes $\frac{4312}{3} {\mathrm{m}}^3$ .

A shopkeeper has one spherical laddoo of radius $5 \mathrm{c}\mathrm{m}$. With the same amount of material, how many laddoos of radius $2.5 \mathrm{c}\mathrm{m}$ can he made?

Find the amount of water displaced by a solid spherical ball of diameter$4.2 cm$ when it is completely immersed in water.

The radius of a sphere is $2r$, then its volume will be

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

Assume $\mathrm{\pi }=\frac{22}{7}$, unless stated otherwise.

A capsule of medicine is in the shape of a sphere of diameter $3.5 \mathrm{mm}$. Find $k$, if  $k {\mathrm{mm}}^3$ medicine is needed to fill this capsule. (Roudoff answer to two decimal places.)

Assume $\mathrm{\pi }=\frac{22}{7}$, unless stated otherwise.

Twenty seven solid iron sphere, each of radius $r$ and surface area $S$ are melted to form a sphere with surface area $S^{\text{'}}$. Find the radius $r^{\text{'}}$ of the new sphere.

Assume $\mathrm{\pi }=\frac{22}{7}$, unless stated otherwise.

Find $k$, if the volume of a sphere (whose surface area is $154 {\mathrm{cm}}^2$) is $k {\mathrm{cm}}^3$. (Roundoff answer to two decimal places)