Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Surface Area and Volume, Exercise 2: Exercise 12.1

A cylindrical container has base radius $8 \mathrm{cm}$ and height $42 \mathrm{cm}$. Find the curved surface area and total surface area of a cylinder.

The circumference of the base of a cylinder is $88 \mathrm{cm}$. If the height of the cylinder is $10 \mathrm{dm}$, find the curved surface area of the cylinder in ${\mathrm{cm}}^2$.

The curved surface area of a cylinder of height $5 \mathrm{cm}$ is $440 {\mathrm{cm}}^2$. Find the radius of the base. 

A cylinder has radius $r$ and height $h$. If the radius and height of a cylinder are doubled, then a new cylinder is obtained. Find the ratio of curved surface area of the original cylinder to that of the new cylinder. 

The total surface area of a cylinder is $440 {\mathrm{m}}^2$. Find the height of the cylinder if its radius is $7 \mathrm{m}$. 

Find the length and breadth of a cardboard required to roll and make a cylinder (hollow without top and bottom) of radius $14 \mathrm{cm}$ and height $40 \mathrm{cm}$. 

A road-roller has length $2 \mathrm{m}$ and radius $77 \mathrm{cm}$. Find the number of revolutions required by the roller to cover the area of $96.8 {\mathrm{m}}^2$. 

The radii of two cylinders are in ratio $3:4$ and their height is $10 \mathrm{cm}$ each. Find the ratio of their curved surface area.