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?
B. diameter: 12 centimeters height: 8 centimeters
C. radius: 12 centimeters height:8 centimeters
D. 16 centimeters height: 9 centimeters
E. radius: 4 centimeters height: 18 centimeters
F. radius: 3 centimeters height: 32 centimeters
To find the volume of a cylinder, you use the formula V = πr^2h, where r is the radius and h is the height.
Let's check each option:
B. diameter: 12 centimeters, radius = 6 centimeters, height: 8 centimeters
V = π(6^2)(8) = 288π cubic centimeters
C. radius: 12 centimeters, height: 8 centimeters
V = π(12^2)(8) = 1152π cubic centimeters, this does not match the given volume.
D. radius: 16 centimeters, height: 9 centimeters
V = π(16^2)(9) = 2304π cubic centimeters, this does not match the given volume.
E. radius: 4 centimeters, height: 18 centimeters
V = π(4^2)(18) = 288π cubic centimeters
F. radius: 3 centimeters, height: 32 centimeters
V = π(3^2)(32) = 288π cubic centimeters
Therefore, options E (radius: 4 centimeters, height: 18 centimeters) and F (radius: 3 centimeters, height: 32 centimeters) could be the dimensions of Julie's sugar container.