Andhra Pradesh Board Solutions for Chapter: Surface areas and Volumes, Exercise 11: EXERCISE - 10.3

From a circle of radius $15 \mathrm{cm}$, a sector with angle $216°$ is cut out and its bounding radii are bent so as to form a cone. Find its volume.

The height of a tent is $9 \mathrm{m}$. Its base diameter is $24 \mathrm{m}$. What is its slant height? Find the cost of canvas cloth required if it costs $₹14$ per square metre.

The curved surface area of a cone is $1159\frac{5}{7} {\mathrm{cm}}^2$. Area of its base is$254\frac{4}{7} {\mathrm{cm}}^2$. Find its volume.

A tent is cylindrical to a height of $4.8 \mathrm{m}$ and conical above it. The radius of the base is $4.5 \mathrm{m}$ and total height of the tent is $10.8 \mathrm{m}$. Find the canvas required for the tent in square meters

What length of tarpaulin $3 \mathrm{m}$ wide will be required to make a conical tent of height $8 \mathrm{m}$ and base radius $6 \mathrm{m}$? Assume that extra length of material that will be required for stitching margins and wastage in cutting is approximately $20 \mathrm{cm}.$ $\left(\mathrm{use} \mathrm{\pi }=3.14\right)$

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

Water is pouring into a conical vessel of diameter $5.2 \mathrm{m}$ and slant height $6.8 \mathrm{m}$, at the rate of $1.8 {\mathrm{m}}^3$ per minute. How long will it take to fill the vessel?

Two similar cones have volumes $12\pi$ cu.units and $96\pi$ cu.units. If the curved surface area of the smaller cone is $15\pi$ sq.units, what is the curved surface area of the larger one?