M L Aggarwal Solutions for Exercise 3: Exercise 17.3

A hemispherical brass bowl has inner-diameter $10.5 \mathrm{cm}$. Find the cost of tin-plating it on the inside at the rate of $₹ 16$ per $100{ \mathrm{cm}}^2$.

The radius of a spherical balloon increases from $7 \mathrm{cm}$ to $14 \mathrm{cm}$ as air is pumped into it. Find the ratio of the surface areas of the balloon in two cases.

If the ratio of the radii of two spheres is $3:7$, find: the ratio of their volumes.

If the ratio of the radii of two spheres is $3:7$, find: the ratio of their surface areas.

If the ratio of the volumes of the two spheres is $125:64$, find the ratio of their

If the volume of a sphere is $179\frac{2}{3}{ \mathrm{cm}}^3$, find its radius and the surface area.

A hemispherical bowl has a radius of $3.5 \mathrm{cm}$. What would be the volume of water it would contain?

The surface area of a solid sphere is $1256{ \mathrm{cm}}^2$. It is cut into two hemispheres. Find the total surface area and the volume of a hemisphere. Take $\pi =3.14$.