Question
A solid cylinder has a height of 13 cm and a volume of 3308 cm3.
Use π on your calculator and not 3.14 or 3.142 for answering the questions.
3.1 Calculate the radius of the cylinder correct to the nearest integer
Use π on your calculator and not 3.14 or 3.142 for answering the questions.
3.1 Calculate the radius of the cylinder correct to the nearest integer
Answers
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Answered by
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 that the volume V is 3308 cm^3 and the height h is 13 cm, we can rearrange the formula to solve for the radius r:
r = √(V/(πh))
Substituting the given values:
r = √(3308/(π*13))
r ≈ √(3308/40.7)
r ≈ √81.256
r ≈ 9.017
Rounding this value to the nearest integer:
r ≈ 9
Therefore, the radius of the cylinder is approximately 9 cm.
V = πr^2h
Given that the volume V is 3308 cm^3 and the height h is 13 cm, we can rearrange the formula to solve for the radius r:
r = √(V/(πh))
Substituting the given values:
r = √(3308/(π*13))
r ≈ √(3308/40.7)
r ≈ √81.256
r ≈ 9.017
Rounding this value to the nearest integer:
r ≈ 9
Therefore, the radius of the cylinder is approximately 9 cm.
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