To calculate the volume of a cylinder, you use the formula V = πr^2h, where r is the radius and h is the height.
For the cylinder:
V = π(3^2)(8) = 72π ≈ 226.19 cubic inches
To calculate the volume of a cone, you use the formula V = (1/3)πr^2h.
For the cone:
V = (1/3)π(2.5^2)(9) = 18.75π ≈ 58.89 cubic inches
Then, calculating the difference in volume:
58.89 - 226.19 ≈ -167.30
Therefore, the statement A "The volume of the cylinder is 167.29 cubic inches less than the volume of the cone." is true.
Michael has two different shaped containers. The dimensions of each container are shown in the drawing.
Cylinder
Radius: 3 in.
Height: 8 in.
Cone
Radius: 2.5 in.
Height: 9 in.
Which statement about the volumes of the cone and the cylinder is true?
A The volume of the cylinder is 167.29 cubic inches less than the volume of the cone.
B The volume of the cylinder is 48 89 cubic inches less than the volume of the cone.
C The volume of the cone is 48.89 cubic inches greater than the volume of the cylinder.
D The volume of the cone is 167.29 cubic inches less than the volume of the cylinder.
1 answer