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

1 answer

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.