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the volume of the right circular cylinder in 144π cubic yards. if h, the height of the cylinder is 4 yards, what is r, the radius of the base?

the volume of the right circular cylinder in 144π cubic yards. if h, the height of-example-1

2 Answers

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Answer:

r = 6

Explanation:

The formula for the volume of a cylinder is V = πr^2h,

If the volume of the cylinder is 144π cubic yards and the height of the cylinder is 4 yards it can be written as 144π = πr^2 * 4

You can then solve for r by dividing both sides of the equation by 4π:

r^2 = 36

r = 6

User Suizokukan
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The volume of a right circular cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.

If the volume of the cylinder is 144π cubic yards and the height of the cylinder is 4 yards, you can set up the equation:
144π = πr^2 * 4

You can then solve for r by dividing both sides of the equation by 4π:
r^2 = 36
r = 6

Thus, the radius of the base of the cylinder is 6 yards.
User Michel Fortes
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5.1k points