A cone has a volume of 36π ft^3. The height of the cone is 12 ft. Find the diameter of the base of the cone

Round to one decimal place if necessary.

Answer: 6 feet

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cone = (1/3) π radius² height

Replacing with the values given and solving for r:

36π = (1/3) π r² 12

36π / [ (1/3) π 12] = r²

9 = r²

√9 = r

3 ft = r

Since:

Diameter = 2 x radius

Substituting r=3

D = 2x 3

D = 6 feet

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