Help please ! A cylinder has total surface area 56π and radius 2. What is the height of the cylinder? Question Help please ! A cylinder has total surface area 56π and radius 2. What is the height of the cylinder? in progress 0 Math Skylar 3 months 2022-02-16T11:00:56+00:00 2022-02-16T11:00:56+00:00 2 Answers 0 views 0

## Answers ( )

Answer: the height of the cylinder is 24

Step-by-step explanation:

The formula for determining the total surface area of a cylinder 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,

Total surface area = 56π

radius = 2

Therefore,

56π = (2 × π × 2²) + 2 × π × h

56π = 8π + 2πh

56 × 3.14 = (8 × 3.14) + (2 × 3.14 × h)

175.84 = 25.12 + 6.28h

6.28h = 175.84 – 25.12 = 150.72

h = 150.72/6.28

h = 24

Answer:

12

Step-by-step explanation:

2π * 2 * h + 2π(2 ^ 2) = 56π

solve for h.

h = 12