The volume of the cone that was carved out of the cylinder can be calculated as 1/3 of the volume of the cylinder since the cone and cylinder have the same radius and height.
Volume of cone = (1/3) x Volume of cylinder
Volume of cone = (1/3) x 54 in^3
Volume of cone = 18 in^3
Therefore, the volume of the remaining amount after carving out the cone is:
Volume of cylinder - Volume of cone
= 54 in^3 - 18 in^3
= 36 in^3
Therefore, the volume of the amount remaining is 36 in^3.
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
36 in.3
36 in. cubed
18 in.3
18 in. cubed
27 in.3
27 in. cubed
40 in.3
1 answer