Jitender Gupta and Divya Malik Solutions for Exercise 1: Topic Exercise

If the radius and the height of a cylinder are $2 \mathrm{cm}$ and $14 \mathrm{cm}$, respectively. Then, find it's lateral surface area‌ (in ${\mathrm{cm}}^2$). $\left(\mathrm{\pi }=\frac{22}{7}\right)$

The given figure shows a metal pipe $77\mathrm{cm}$ long. The inner diameter of a cross-section is $4\mathrm{cm}$ and the outer one is $4.4\mathrm{cm}$. Find its total surface area in ${\mathrm{cm}}^2$.

If the diameter of the base and height of a cylinder are $6 \mathrm{cm} \mathrm{and} 14 \mathrm{cm}$, respectively. Then, find its volume in ${\mathrm{cm}}^3$.

A rectangular paper $11 \mathrm{cm} \mathrm{by} 8 \mathrm{cm}$ can be exactly wrapped to cover the curved surface of a cylinder of height $8 \mathrm{cm}$. Find the volume in ${\mathrm{cm}}^3$ of the cylinder.

The internal and external diameters of cylindrical steel pipe of length $140\mathrm{cm}$ are $8\mathrm{cm} \mathrm{and} 10\mathrm{cm}$, respectively. Then, find the volume in ${\mathrm{cm}}^3$of steel. [Take $\mathrm{\pi }=\frac{22}{7}$]

In a cylinder, if radius is halved and height is doubled, then find its volume.

Calculate the volume of a right circular cylinder in ${\mathrm{cm}}^3$ with base radius $14 \mathrm{cm}$ and height $14 \mathrm{cm}$.

The radius and height of a cylinder are in the ratio $5:7$ and its volume is  $550 {\mathrm{cm}}^3$. Find its radius in $\mathrm{cm}$.