Question

The area of the circular base of a cylinder is 36 square units. The height of the cylinder is 2 units. What is the lateral area of the cylinder? Express the answer in terms of n.

Answer 1

Answer: 24 square units

Step-by-step explanation: just took the quiz it’s correct :D !

Answer 2

The lateral area of the cylinder is
`24 \pi\ units^(2)`

Explanation:

we know that

The lateral area of the cylinder is equal to

`LA=2\pi rh`

step 1

Find the radius of the base of the cylinder

The area of the base is equal to

`A=\pi r^(2)`

we have

`A=36 \pi\ units^(2)`

so

substitute and solve for r

`36 \pi=\pi r^(2)`

Simplify

`r=6\ units`

step 2

Find the lateral area

we have

`r=6\ units`

`h=2\ units`

substitute the values

`LA=2\pi (6)(2)=24 \pi\ units^(2)`