Question
A cylinder has a height of 10 feet. Its volume is 10,173.6 cubic feet. What is the radius of the cylinder?%0D%0A%0D%0AUse %E2%80%8B𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Answers
GPT 3.5
To find the radius of the cylinder, we can use the formula for the volume of a cylinder:
V = πr^2h
Given:
V = 10,173.6 cubic feet
h = 10 feet
Substitute the values into the formula:
10,173.6 = 3.14r^2(10)
10,173.6 = 31.4r^2
r^2 = 10,173.6 / 31.4
r^2 = 324.06
r = √324.06
r ≈ 18
Therefore, the radius of the cylinder is approximately 18 feet.
V = πr^2h
Given:
V = 10,173.6 cubic feet
h = 10 feet
Substitute the values into the formula:
10,173.6 = 3.14r^2(10)
10,173.6 = 31.4r^2
r^2 = 10,173.6 / 31.4
r^2 = 324.06
r = √324.06
r ≈ 18
Therefore, the radius of the cylinder is approximately 18 feet.