# The curved surface area of a right circular cylinder of height $14 \mathrm{~cm}$ is $88 \mathrm{~cm}^{2}$. Find the diameter of the base of the cylinder.

#### Complete Python Prime Pack

9 Courses     2 eBooks

#### Artificial Intelligence & Machine Learning Prime Pack

6 Courses     1 eBooks

#### Java Prime Pack

9 Courses     2 eBooks

Given :

The curved surface area of a right circular cylinder of height $14\ cm$ is $88\ cm^2$.

To find:

we have to find the diameter of the base of the cylinder.

Solution:

Let the radius of the base of the cylinder be $r$ cm.

The curved surface area of a cylinder of radius $r$ and height $h = 2\pi rh$

Therefore,

$2\pi rh= 2 \times \frac{22}{7} \times r \times 14$

$88 = 88r$

$r=\frac{88}{88}\ m$

$r=1\ m$

Diameter$=2r=2(1)\ m=2\ m$

The diameter of the base of the cylinder is $2\ m$.

Updated on 10-Oct-2022 13:46:29