Andhra Pradesh Board Solutions for Chapter: Mensuration, Exercise 3: EXERCISE - 10.1

A joker's cap is in the form of right circular cone whose radius $7 \mathrm{cm}$ and height is $24 \mathrm{cm}$ and find the area of the sheet required to make $10$ such caps.(in ${\mathrm{cm}}^2$)
(Take $\pi =\frac{22}{7}$)

A sports company was ordered to prepare $100$ paper cylinders for shuttle cocks. The required dimensions of the cylinder are $35 \mathrm{cm}$ length /height and its radius is $7 \mathrm{cm}$. Find the required area of thin paper sheet needed to make $100$ cylinders?(in ${\mathrm{cm}}^2$)

Find the volume of right circular cone with radius $6 \mathrm{cm}$ and height $7 \mathrm{cm}$ (in ${\mathrm{cm}}^3$).

The lateral surface area of a cylinder is equal to the curved surface area of a cone. If their bases be the same, find the ratio of the height of the cylinder to the slant height of the cone.

Self help group wants to manufacture jokers caps of $3 \mathrm{cm}$ radius and $4 \mathrm{cm}$ height. If the available colour papers sheet is$1000 {\mathrm{cm}}^2$, then how many caps can be manufactured from that paper sheet?

A cylinder and a cone have the same radii and same height. Show that their volumes are in the ratio $3:1$.

A solid iron rod has a cylindrical shape. Its height is $11 \mathrm{cm}$ and base diameter $7 \mathrm{cm}$. Find volume of $50$ rods (in ${\mathrm{cm}}^3$).

The curved surface area of a cone is $4070 {\mathrm{cm}}^2$and its diameter is $70 \mathrm{cm}$. What is its slant height?