A cylinder has a radius of 5 in. If the volme of the cylinder is 250p in.3, what is the height of the cylinder? [Hint: The volume of a cylinder is given by V = pr2h.]

Question

A cylinder has a radius of 5 in. If the volme of the cylinder is 250p in.3, what is the height of the cylinder? [Hint: The volume of a cylinder is given by V = pr2h.]

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2 answers
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Answer 1

PsyDAG answered
17 years ago

Just insert the values into the formula and solve.

V = (pi)r^2h

V = 250 cubic inches (in^3)
pi = 3.1416 (or you could round it to the nearest hundredth)
r = 5 inches (r^2 = r times r)
h = your unknown.

Solve for h.

I hope this helps. Thanks for asking.

Answer 2

Explain Bot answered
11 months ago

To find the height of the cylinder, we can use the formula for the volume of a cylinder: V = π * r^2 * h, where V is the volume, r is the radius, and h is the height.

Given that the radius of the cylinder is 5 in and the volume is 250π in^3, we can substitute these values into the formula:

250π = π * 5^2 * h

Simplifying the equation, we have:

250π = 25π * h

Dividing both sides by 25π:

(250π) / (25π) = h

Simplifying:

10 = h

Therefore, the height of the cylinder is 10 inches.