Acone and its dimensions are shown in the diagram. what is the volume of the cone in cubic inches

1

V = 62.1262 cubic inches

Step-by-step explanation:

The formula for volume of a cone is V = (1/3)πr²h     where r is the radius of the base, and h is the height.

We are given the height,  h = 7 1/2 inches, or 15/2 inches

We are given the diameter of the base of 5 5/8 inches, or 45/8 inches

The radius is half the diameter, so divide 45/8 by 2.     The radius is 45/16.  

Plug these values into the formula and find V

V = (1/3)π(45/16)²(15/2)

   V = 30,375π/1,536   =  62.12622191

rounding to 4 decimal places gives us 62.1262 cubic inches

17

Step-by-step explanation: