Telangana Board Solutions for Chapter: Mensuration, Exercise 2: Exercise

A joker's cap is in the form of right circular cone whose base radius is $7$ $\mathrm{cm}$ and height is $24$ $\mathrm{cm}$. Find the area of the sheet required to make $10$ such caps in $\mathrm{sq}.\mathrm{cm}$.

A sports company was ordered to prepare $100$ paper cylinders for packing 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 thick paper sheet needed to make $100$ cylinders in $\mathrm{sq}.\mathrm{cm}$.

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

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

A self help group wants to manufacture joker’s caps of $3$ $\mathrm{cm}$ radius and $4$ $\mathrm{cm}$ height. If the available paper sheet is $1000$ ${\mathrm{cm}}^2$, then how many caps can be manufactured from that paper sheet?
(Round off the result)

The shape of solid iron rod is cylindrical. Its height is $11$ $\mathrm{cm}$ and base diameter is $7$ $\mathrm{cm}$. Then find the total volume of $50$ such rods in ${\mathrm{cm}}^3$.

A heap of rice is in the form of a cone of diameter $12$ $\mathrm{m}$ and height $8$ $\mathrm{m}$. Find its volume? How much canvas cloth is required to cover the heap? (Use $\mathrm{\pi }= 3.14$)

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