Volume of Spherical Shell

Q. A hemispherical bowl of internal diameter $36$ cm is filled with some liquid. This liquid is to be filled into Cylinder shaped bottles each of radius $3$ cm and height $6$ cm. Find the number of bottles required to empty the bowl.

Q. Find the volume of material that is needed to form a spherical shell whose outer radius is $3.0$ inches and whose inner radius is $0.1$ inches.

1. $103.035i{n}^3$
2. $93.035i{n}^3$
3. $123.035i{n}^3$
4. $113.035i{n}^3$

Q. The inner diameter of the spherical shell is $12$ mm and outer diameter is $24$ mm. Find the volume of the shell.

1. $6330m{m}^3$
2. $5330m{m}^3$
3. $4330m{m}^3$
4. $3330m{m}^3$

Q. A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.

Q. How many spherical balls can be made out of a solve cube of lead whose edge measure $44cm$ and each ball being $4cm$ in diameter.

Q. A hollow spherical shell has inner diameter $4$ cm and outer diameter $8$ cm. Determine the volume of the shell.

1. $204.45c{m}^3$
2. $134.45c{m}^3$
3. $334.45c{m}^3$
4. $234.45c{m}^3$

Q. A spherical shell has a outer radius $14$ m and inner radius $7$ m. What's the volume of the sphere?

1. $\approx 9000m^3$
2. $\approx 8000m^3$
3. $\approx 10000m^3$
4. $\approx 7000m^3$

Q. Write the formula to find volume of spherical shell.

Q. A solid cylinder of glass, the inner radius is $9$ cm and the outer radius is $12$ cm. Find the approximate volume of the sphere.

1. $\approx 1000c{m}^3$
2. $\approx 2000c{m}^3$
3. $\approx 3000c{m}^3$
4. $\approx 4000c{m}^3$

Q. The diameters of internal and external surfaces of a hollow spherical shell are $10cm$ and $6cm$ respectively. If it is melted and recast into a solid cylinder of length of $2\frac{2}{3}cm$, find the diameter of the cylinder.