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
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.
To calculate the radius of the cylinder, we can use the formula for the volume of a cylinder:
V = π * r^2 * h
Given that the volume is 3308 cm^3 and the height is 13 cm, we can rearrange the formula to solve for the radius (r):
r = sqrt(V / (π * h))
Substituting the given values into the formula:
r = sqrt(3308 / (π * 13))
Using π on the calculator, we can calculate the radius:
r ≈ sqrt(3308 / (π * 13)) ≈ sqrt(80) ≈ 8.94
Rounding to the nearest integer, the radius of the cylinder is 9 cm.