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A cylinder has a volume of 452 cubic inches and a height of 9 inches. What is the radius?

User Spifff
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Answer:

Explanation:

The formula for volume of a cylinder is..

V = πr²h where r is the radius and h is the height. We are given V = 452 and h = 9, plug those values in and solve for r

452 = πr²(9)

452/(9π) = r² (divide both sides by 9π)

√[452/(9π)] = r (take the square root of both sides)

(√452)/(√9π) = r (the next steps simplify the equation)

(2√113)/(3√π) = r

[(2√113)√π)]/[3(√π)(√π)] = r

[2√(113π)]/(3π) = r