Question

a curved surface area a cylinder of radius 5 cm is 251.2 sqcm find its height ( pie 3.14)​

Answer 1

Step-by-step explanation:

curved surface area of cylinder =2π rh

2× 3.14 ×5 *h = 251.2

h= 251.2 ÷ 31.4

=8 cm Answer

Answer 2

Answer:

Height of cylinder is 8cm

Step-by-step explanation:

Given that

$curved \: surface \: area \: of \: cylinder = 251.2 {cm}^{2}$

$radius \: of \: cylinder = 5cm$

To find

Height of cylinder

Solution

As we know that

Let r as radius of cylinder

h as height of cylinder

c as curved surface area of cylinder

$curved \: surface \: area \: of \: cylinder = 2 \times \pi \times radius \times height$

$c = 2 \times \pi \times 5 \times h$

$251.2 = 2 \times \pi \times 5 \times h$

as we have to find height of cylinder then

$h = \frac{251.2}{2 \times \pi \times 5}$

let

$\pi = 3.14$

hence

$h = \frac{251.2}{2 \times 3.14\times 5}$

by multiplication and division

$h = 8cm$

Hence height of cylinder is 8cm.