Question

A cylinder has a radius of 5 yds and a height of 2 yds. What is the surface area of the cylinder? (Use 3.14 for pi.)

Answer 1

Use the following formula:-


`SA=2 \pi rh+2 \pi r^2`

r = radius
h = height

Substitute for the formula:-

r = 5


`SA = 2 * \pi *5*h+2* \pi *5^2`

2 = 5


`SA = 2 * \pi *r*2+2* \pi *r^2`


`SA= 2* \pi *5*2+2* \pi *5^2`

Solve:-


`SA= 2* 3.14 *5*2+2* 3.14 *5^2`

SA = 2 × 3.14 × 5 × 2 + 2 × 3.14 × 25
SA = 6.28 × 5 × 2 + 2 × 3.14 × 25
SA = 31.4 × 2 + 2 × 3.14 × 25
SA = 62.8 + 6.28 × 25
SA = 62.8 + 157
SA = 219.8
SA = 219.8 yds

The surface area of this cylinder is 219.8 yds (yards)