Volume of Hollow Hemisphere

Q. Calculate the weight of a brass hollow hemisphere if the inner diameter is 14 cm and thickness is 1 mm, and whose density is 17.3 $g/c{m}^3$.

1. 540.45 g
2. 1080.9 g
3. 440.45 g
4. 640.45 g

Q. If a concentric hemisphere of radius $\frac{R}{2}$ is removed from a radius of hemisphere $R$. Find the ratio of remaining volume to that of removed.

1. 8
2. 6
3. 5
4. 7

Q.

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

Q. If $r_1=9cm$ and $r_2=5cm$, then find the area of the shaded region. (Use $\pi =\frac{22}{7}$)

1. 176

Q. A solid sphere of radius $6cm$ is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is $5$ cm and its height is $32$ cm, then find the thickness of the cylinder.