Question
A cylinder has a volume of 239 cubic centimetres and a height of 6 centimeters. what is the Height?
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We are given that the volume of the cylinder is 239 cubic centimetres and its height is 6 centimeters.
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
We can rearrange this formula to solve for h: h = V / (πr^2).
However, we are not given the radius of the cylinder, so we need to find it first.
The formula for the volume can also be written as V = Bh, where B is the base area of the cylinder (which is the area of the circle with radius r).
We can rearrange this formula to solve for the radius: r = √(V / πh).
Plugging in the given values, we get:
r = √(239 / (π * 6)) ≈ 2.31 centimeters.
Now we can use the formula for h:
h = V / (πr^2) = 6.0 centimeters (to one decimal place).
Therefore, the height of the cylinder is 6.0 centimeters.
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
We can rearrange this formula to solve for h: h = V / (πr^2).
However, we are not given the radius of the cylinder, so we need to find it first.
The formula for the volume can also be written as V = Bh, where B is the base area of the cylinder (which is the area of the circle with radius r).
We can rearrange this formula to solve for the radius: r = √(V / πh).
Plugging in the given values, we get:
r = √(239 / (π * 6)) ≈ 2.31 centimeters.
Now we can use the formula for h:
h = V / (πr^2) = 6.0 centimeters (to one decimal place).
Therefore, the height of the cylinder is 6.0 centimeters.