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#