Volume of Cones, Cylinders, and Spheres Quick Check
4 of 54 of 5 Items
Question
Use the image to answer the question.
A cone is placed inside a cylinder. The apex of the cone touching the center of the top circle of the cylinder is highlighted with a dot. The cone with its base is drawn in dashed lines. The base of the cone is common with the base of the cylinder.
A sculptor created a design by carving a cone out of a cylinder. The cone and cylinder share the same radius and height. If the volume of the cylinder before removing the cone is 54 in.3 , what is the volume of the amount remaining?(1 point)
Responses
27 in.3
27 in. cubed
18 in.3
18 in. cubed
36 in.3
36 in. cubed
40 in.3
40 in. cubed
Skip to navigation
Since the cone and cylinder share the same radius and height, they will have the same volume. Therefore, the volume of the amount remaining after removing the cone is also 54 in.3.
So the correct answer is:
54 in.3
54 in. cubed