Question

Find the total surface area of a cylinder with a height of 5 cm and radius of 2 cm. Leave your answer in terms of π.
28π cm2
24π cm2
70π cm2
45π cm2

Answer 1

Answer:

28 cm²

Step-by-step explanation:

A=2πrh+2πr2²

2(2)(5)+2(4)

20+8

28π cm²

Answer 2

Given : A cylinder with a height of 5 cm and radius of 2 cm.

To find : Total surface area in terms of π.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the total surface area)

The base area of the cylinder :

= π × (radius)²

= π × (2)²

= 4π cm²

Curved surface area of the cylinder :

= 2 × π × radius × height

= 2 × π × 2 × 5

= 20π cm²

So, the total surface area of the cylinder :

= (2 × base area) + (curved surface area)

= (2 × 4π) + 20π

= 8π + 20π

= 28π cm²

(This will be considered as the final result.)

Hence, the total surface area is 28π cm².