What is the volume of the cone with radius 6 in. and height 10 in.? Express the answer in terms of π.
126π in3
60π in3
98π in3
120π in3

The volume of the cone with a radius of 6 inches and a height of 10 inches is 120π in³, calculated using the formula for the volume of a cone.
The volume of a cone can be calculated using the formula V = ⅓πr²h, where V is the volume, r is the radius, and h is the height of the cone. In the given problem, the radius (r) is 6 inches and the height (h) is 10 inches.
So, the volume of the cone is 120π in³.
Final answer:
The volume of the cone with a radius of 6 inches and height of 10 inches is 120π in.³.
Explanation:
The volume of a cone is given by the formula V = (1/3) πr²h, where r is the radius of the base of the cone, h is the height of the cone, and π (pi) is a mathematical constant approximately equal to 3.14159.
In this case, the radius (r) of the cone is 6 inches and the height (h) is 10 inches. Using the formula:
Therefore, the volume of the cone is 120π in.³.