Question

Julie has a cylinder containing sugar. The cylinder has a volume of 288π cubic centimeters. Which of the following could be the dimensions of Julie's sugar container?

radius: 4 centimeters
height: 18 centimeters

radius: 3 centimeters
height: 32 centimeters

diameter: 12 centimeters
height: 8 centimeters

diameter: 16 centimeters
height: 9 centimeters

radius: 12 centimeters
height: 8 centimeters

radius: 4 centimeters
height: 12 centimeters

Answer 1

The volume of a cylinder is:
Volume   =   π • r² • height
288 PI = PI * r^2 * height
height = 288 / r^2

Using this formula to compare height and radius,
The first 3 answers are correct and the last 3 answers are wrong.

Answer 2

Diameter: 12 centimeters.

Height: 8 centimeters.

Radius: 4 centimeters.

Height: 18 centimeters.

Radius: 3 centimeters.

Height: 32 centimeters.