## Help please ! A cylinder has total surface area 56π and radius 2. What is the height of the cylinder?

Question

A cylinder has total surface area 56π and radius 2. What is the height of the cylinder?

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3 months 2022-02-16T11:00:56+00:00 2 Answers 0 views 0

1. 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

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
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