Arihant Expert Team Solutions for Exercise 1: Practice Questions

The diameter of a circle is $7.7 \mathrm{cm}$. What is the circumference of the circle?

If the radius of a circle is reduced by $50\%$, by what percent does its area gets reduced?

The length of the longest pole that can be placed in a hall of dimensions $10 \mathrm{m}\times 8 \mathrm{m}\times 6 \mathrm{m}$ is

If the surface area of cube is $486 {\mathrm{cm}}^2$, then its volume will be

The area of a square is twice the area of a circle. The area of the circle is $392$ sq.cm. Find the length of the side of the square.

If the volume of two cones are in ratio $1:4$ and their diameter are in the ratio $4:5$, then the ratio of their height?

The radius of a right circular cylinder is decreased by $10\%$ but its height is increased by $15\%$. What is the percentage change in its volume?

The frustum of a right circular cone has the radii of base $4 \mathrm{cm}$, the top of $2 \mathrm{cm}$ and a height of $6 \mathrm{cm}$. Find the volume of the frustum?