Question

The surface area of this cylinder is 477.28 square centimeters. What is the height?

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
the radase is 4cm

Answer 1

The surface area of this cylinder is 563.6928 square millimeters. What is the height?

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
the radiase is 4.4mm

Answer 2

The surface area of this cylinder is 1,613.2064 square yards. What is the height?

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
the radiase is 10.4yd

Answer 3

The formula for the surface area of a cylinder is:

2πrh + 2πr^2

Simplifying this expression:

2πrh + 2πr^2 = 477.28

Substituting the values given:

2(3.14)(4)h + 2(3.14)(4)^2 = 477.28

Simplifying further:

25.12h + 100.48 = 477.28

Subtracting 100.48 from both sides of the equation:

25.12h = 376.8

Dividing both sides by 25.12:

h = 14.99

Rounding to the nearest hundredth:

h ≈ 15.00

Therefore, the height of the cylinder is approximately 15 centimeters.

Answer 4

The formula for the surface area of a cylinder is:

2πrh + 2πr^2

Simplifying this expression:

2πrh + 2πr^2 = 563.6928

Substituting the values given:

2(3.14)(4.4)h + 2(3.14)(4.4)^2 = 563.6928

Simplifying further:

27.656h + 121.8656 = 563.6928

Subtracting 121.8656 from both sides of the equation:

27.656h = 441.8272

Dividing both sides by 27.656:

h = 15.97

Rounding to the nearest hundredth:

h ≈ 15.97

Therefore, the height of the cylinder is approximately 15.97 millimeters.

Answer 5

The formula for the surface area of a cylinder is:

2πrh + 2πr^2

Simplifying this expression:

2πrh + 2πr^2 = 1,613.2064

Substituting the values given:

2(3.14)(10.4)h + 2(3.14)(10.4)^2 = 1,613.2064

Simplifying further:

65.312h + 677.4272 = 1,613.2064

Subtracting 677.4272 from both sides of the equation:

65.312h = 935.7792

Dividing both sides by 65.312:

h = 14.324

Rounding to the nearest hundredth:

h ≈ 14.32

Therefore, the height of the cylinder is approximately 14.32 yards.