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3 years ago

A cone has a volume of 1309cm^3. If the height of the cone is 8 centimeters, find its radius.

Mathematics

1 answer:

zhenek [66]3 years ago

7 0

Answer:

The radius is 12.5.

Step-by-step explanation:

The volume of a cone is found using the formula $V = \frac{1}{3} \pi r^2 h$ . Substitute the values V = 1309 and h = 8. Solve for r.

$V = \frac{1}{3} \pi r^2 h\\1309 = \frac{1}{3} \pi r^2 * 8\\3927 = \pi r^2*8\\156.2 = r^2\\12.5 = r$

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