Question

The curved surface area of a cylinder of radius 5cm is 251.2cm sq.Find it's height.pie 3.14​

Answer 1

Solution

Given:-

• The curved surface area of a cylinder = 251.2 cm
• radius is = 5 cm

Find:-

• Radius of cylinder

Explanation

Formula

$\dag\boxed{\underline{\tt{\blue{\: CSR\:=\:2\pi\:rh}}}}$

Where,

• π = 22/7

So, Now calculate

==> Curved surface area = 2πrh

==> 251.2 = 2 ×22/7 × 5 ×h

==> 251.2 = 220h/7

==> 220h = 251.2 × 7

==> h = 251.2 × 7/220

==> h = 1758.4/220

==> h = 7.9

Hence

• Height will be of cylinder = 7.9 cm

____________________

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.