A cone has a base radius of 5 cm and a height of 12 cm. If the cone is sliced parallel to its base at half its height, what is the volume of the smaller cone formed?

March 11, 2026

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A triangle has sides of length 7 cm, 24 cm, and 25 cm. Determine if the triangle is a right triangle, and if so, find the area of the triangle.
A cylinder has a radius of 3 cm and a height of 10 cm. If the height is increased by 50% and the radius is doubled, what is the ratio of the new volume to the original volume?
The ratio of the new volume to the original volume is:
A right circular cone is inscribed in a sphere with a radius of 10 cm. If the height of the cone is equal to the diameter of the sphere, find the volume of the cone.
Since the cone is inscribed, the base radius is the distance from the center of the sphere to the base edge, which is:
Re-evaluating, the height from the spheres center to the base is 10 cm, so:

A cone has a base radius of 5 cm and a height of 12 cm. If the cone is sliced parallel to its base at half its height, what is the volume of the smaller cone formed?

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