A cone has a volume of 81 cubic feet and a height of 6 feet. What is the
radius of the base?
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Answer:
B. r = 2
Step-by-step explanation:
First start by getting your formula: [tex]V=\frac{1}{3} \pi r 2h[/tex]
Next plug in what you know:
8[tex]\pi[/tex]= [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r2(6)
Solve for "r":
8[tex]\pi[/tex]=[tex]\frac{1}{3} \pi[/tex]r(12) ---------> divide the pi out and multiply by 3 on both sides to lose the fraction
24=r(12) ---------> divide by 12
2=r