A cylinder has a radius of 5 in. If the volume of the cylinder is 250Ĉ in.3, what is the height of the cylinder? [Hint: The volume of a cylinder is given by V = Ĉr2h.] I think I wrote it wrong the first time.

The volume of a cylinder is pi r^2 h.
Your computer seems to be typing different symbols (Ĉ) for pi. If you meant to state that the volume of the cylinder is
250 pi in^3, then the height is
h = V /(pi r^2) = 250 pi/25 pi = 10 inches

To find the height of the cylinder, you can use the formula for the volume of a cylinder, which is V = πr^2h. In this case, the volume is given as 250π in.³ and the radius is given as 5 in.

To find the height, you can rearrange the formula to solve for h:
h = V / (πr^2)

Substituting the given values, we have:
h = 250π / (π (5^2))

Simplifying, we get:
h = 250π / (π 25)
h = 250π / 25π
h = 10 in.

Therefore, the height of the cylinder is 10 inches.

To find the height of the cylinder, we need to rearrange the formula for the volume of a cylinder and solve for h.

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

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 further:

250 = 25h

Now, we can solve for h by dividing both sides of the equation by 25:

h = 250/25

h = 10

Therefore, the height of the cylinder is 10 inches.

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