Question

The height of a cylinder is 9.5 centimeters. the diameter of this cylinder is 1.5 centimeters longer than the height. which is closest to the volume of the cylinder?

Answer 1

Given that the height of a cylinder is 9.5 centimeters and that the diameter of this cylinder is 1.5 centimeters longer than the height, thus, the diameter of the cylinder is 9.5 + 1.5 = 11 cm and the radius of the cylinder is diameter / 2 = 11 / 2 = 5.5 cm.

The volume of the cylinder is given by

$V=\pi r^2h \\ \\ =\pi(5.5)^2(9.5) \\ \\ =\pi(30.25)(9.5) \\ \\ =287.375\pi\approx902.8cm^3$