The correct statement is: The volume of the cone is 48.89 cubic inches greater than the volume of the cylinder.
To calculate the volume of the cone, we use the formula V = (1/3)πr^2h, where r is the radius and h is the height. Thus, V_cone = (1/3)π(2.5)^2(9) ≈ 58.9 cubic inches.
To calculate the volume of the cylinder, we use the formula V = πr^2h. Thus, V_cylinder = π(3)^2(8) = 72π ≈ 226.2 cubic inches.
Therefore, the volume of the cone is 58.9 cubic inches and the volume of the cylinder is 226.2 cubic inches. The volume of the cone is indeed 48.89 cubic inches greater than the volume of the cylinder.
Michael has two different shaped containers. The dimensions of each container are shown in the drawing
Cone
Height: 9 in.
Radius: 2.5 in.
Cylinder
Height: 8 in.
Radius: 3 in.
Which statement about the volumes of the cone and the cylinder is true?
The volume of the cylinder is 167.29 cubic inches less than the volume of the cone.
The volume of the cylinder is 48.89 cubic inches less than the volume of the cone.
The volume of the cone is 48.89 cubic inches greater than the volume of the cylinder.
The volume of the cone is 167.29 cubic inches less than the volume of the cylinder
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