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
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.
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
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
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.
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.