Find the base area of a cone with a volume of 75 cubic inches and a height of 6 inches.

(75/2) in^2, or approximately 37.5 in^2

Step-by-step explanation:

The equation for the volume of a cone of base area b and height h is

V = (1/3)(b)(h).

Let's solve this for b, since b is the unknown here.

Multiplying both sides of this equation by 3, we get:

3V = (b)(h), and so

b = (3V)/h

In this particular case we're given V = 75 in^3 and h = 6 in.  Substituting these values into the above formula for b, we get:

        3(75 in^3)

b = = (75/2) in^2, or approximately 37.5 in^2

            6 in

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step-by-step explanation: