A cylinder has a height of 7 cm and a diameter of 5 cm. What is the volume of the cylinder?

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Answer 1 · 2018-06-28T13:37:23

$43.75pi$

The formula for the volume of a cylinder is

$V = hpir^2$

Where $r$ is the radius of the circle at the base, and $h$ is the height of the cylinder.

In your case, you already have $h$ , but we need to find $r$ .

However, we're not far from having it: we know the diameter, which is twice the radius. So, if the diameter is $5$ , the radius is $2.5$ .

If we plug these values in the formula for the volume, we have

$V = 7pi*(2.5)^2 = 7pi*6.25=43.75pi$