R Chandra Solutions for Chapter: Surface Areas and Volumes, Exercise 1: TEST YOUR SKILLS

The pillars of a temple are cylindrical shaped. If each pillar has a circular base of radius $20 \mathrm{c}\mathrm{m}$ and height $10 \mathrm{m}$, how much concrete mixture would be required to build $14$ such pillars?

The radius and the height of a right circular cone are in the ratio of $5\mathrm{}:12$ and its volume is $2512 {\mathrm{c}\mathrm{m}}^3$. If $\mathrm{\pi }=3.14$, then find slant height.

The sides of a right triangle are $7\mathrm{}\mathrm{c}\mathrm{m},\mathrm{}24\mathrm{}\mathrm{c}\mathrm{m}$ and $25\mathrm{}\mathrm{c}\mathrm{m}$. If it is revolved about its side $7\mathrm{}\mathrm{c}\mathrm{m}$ to form a solid cone, find the volume of the solid so formed.

Two cones have their base radii in ratio of $3:1$ and the ratio of their heights as $1:3$. Find the ratio of their volumes.

Find the volume of a sphere of radius $11.2\mathrm{}\mathrm{c}\mathrm{m}$.

Find the volume of a sphere whose surface area is $5544\mathrm{}{\mathrm{c}\mathrm{m}}^2$.

A shot-put is metallic sphere of radius $4.9\mathrm{}\mathrm{c}\mathrm{m}$. If the density of the metal is $7.8\mathrm{}\mathrm{g}\mathrm{}\mathrm{p}\mathrm{e}\mathrm{r}\mathrm{}{\mathrm{c}\mathrm{m}}^3$, find the mass of the shot-put.

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