Question

The height of a cylinder is 28 cm and curved surface area is 2816 cm2

. Find its

diameter​

Answer 1

Answer:

Let the radius of a cylinder be 'r'.

Given:- Height (h) of a cylinder= 28 cm

Curved Surface area of a cylinder = 2 π r h sq. unit

According to the question,

$2\pi \: rh \: = 2816$

$= > 2 \times \frac{22}{7} \times r \times 28 = 2816$

$= > 44 \times 4 \times r = 2816$

$= > 176 \times r = 2816$

$= > r = \frac{2816}{176}$

$= > r = 16$

Radius (r) of a cylinder = 16 cm.

So, diameter = 2 * r

= 2 * 16 cm

= 32 cm

Answer:- The diameter of a cylinder is 32 cm .