Question

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Answer 1

Answer:

113.1 unit²

Step-by-step explanation:

A cylinder is a shape with two round ends and two parallel lines connecting the round ends.

Height=9  unit, Base=4 unit

The lateral surface area of a cylinder (A) is given by the equation:

$A=2\pi rh$

where r is the radius of the cylinder and h is the height of the cylinder.

Given that the base = 4 unit, therefore the diameter (d) = base = 4 unit. Also the height (h) = 9 unit.

Radius (r) = d/2 = 4/2 = 2 unit

Calculating the area of the cylinder is as follows

$A=2\pi rh\\A=2\pi*2*9\\A=113.1$

The area of the cylinder is 113.1 unit²