Question

Brooke is making a c cylindrical bolster pillow for her couch. The pillow is 18 inches long and has a radius of 5 inches. Determine the amount of fabric needed for the pillow. Round to the nearest tenth.

Answer 1

Answer:

Step-by-step explanation:

The pillow is cylindrical. To determine the amount of fabric needed for the pillow, we would apply the formula for determining the total surface area of a cylinder which is expressed as

Total surface area = 2πr² + 2πrh

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

radius = 5 inches

Height = 18 inches

Therefore,

Area = (2 × 3.14 × 5²) + 2 × 3.14 × 5 × 18

Area = 157 + 565.2 = 722.2

Amount of fabric needed is

722.2 square inches