Question

find the lateral surface area of a right circular cylinder if it has base diameter 6 cm and its height is 12 centimetre​

Answer 1

Step-by-step explanation:

Lateral Surface Area of cylinder = 2πrh

Base Diameter = 6cm

Thus, Radius = 3cm

Height = 12cm

L.S.A. of cylinder = 2 x 3.14 x 3 x 12

                            = 226.08 cm sq.

Answer 2

Step-by-step explanation:

Given that

Diameter of cylinder is 6cm

Height of cylinder is 12cm

To find

Lateral surface area of cylinder

Solution

Let

d as diameter of cylinder

r as radius of cylinder

h as height of cylinder

L as lateral surface area of cylinder

As we know that

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

$l = 2 \times \pi \times r \times h$

as we know that radius is always half of diameter hence

$radius = \frac{d}{2} = \frac{6}{2} = 3cm$

now

put

$\pi = 3.14$

$l = 2 \times 3.14 \times 3 \times 12$

by multiplication we get

$l = 226.19 {cm}^{2}$

Hence lateral surface area of cylinder is 226.19sq cm