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What is the radius of a cylinder that has a volume of 500ft cubed and that is 10 ft tall?

User Jme
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2 Answers

0 votes

Answer: R=3.9894

Step-by-step explanation: r=root of (volume divided by pie times the height). r=root of (500/3.14x10)

User Elviz
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3.3k points
2 votes

Answer:

r =4 ft

Explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the volume and the height, and approximate pi by 3.14

500 = 3.14 r^2 *10

500 = 31.4 r^2

Divide each side by 3.14

500/31.4 = 31.4 r^2/31.4

15.2356688 = r^2

Take the square root of each side

sqrt(15.2356688) = sqrt(r^2)

3.99 = r

Rounding

r =4 ft

User Rando Shtishi
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3.5k points