M L Aggarwal Solutions for Chapter: Surface Areas and Volumes, Exercise 3: Exercise 13.3

The circumference of the base of $24 m$ high solid wooden cone is $44 m$. Find its total surface area.

The radius and height of the right circular cone are in the ratio $4:3$. If the area of the base of the cone is $154 c{m}^2$, find its curved surface area.

The radius and height of the right circular cone are in the ratio $4:3$. If the volume of the cone is $2156 c{m}^3$, find the total surface area of the cone.

Sheeze has a piece of canvas whose area is $553 m^2$. She uses it to make a conical tent with a base diameter of $14 m$. Assuming all stitching margins and wastage incurred while cutting amounts $3 m^2$. Find the volume of the air happed in the conical tent.

How many metre of canvas $1\frac{4}{7} m$ wide will be required to make a conical tent whose base diameter is $10 m$ and vertical height is $12 m$?

The volume of a right circular cone is $9856 c{m}^3$ and the area of its base is $616 c{m}^2$. Find the slant height of the cone.

The volume of a right circular cone is $9856 c{m}^3$ and the area of its base is $616 c{m}^2$. Find total surface area of the cone.

A right triangle with sides $3 cm, 4 cm and 5 cm$ is revolved about the side $4 cm$. Find the volume and the total surface area of the cone so formed. ( Take $\mathrm{\pi }=3.14$)