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3 February, 21:59

The circumference of the bas of the cylinder is 18π units. The cylinder is 30 units tall.

Which of the following is the closest to the volume of the cylinder?

A 706 cubic units

B 1,414 cubic units

C 7,630 cubic units

D 21,195 cubic units

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Answers (1)
  1. 4 February, 00:10
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    The volume of a cylinder is (pi) (radius) ² (height).

    We know the height, but we don't know the radius.

    Is there a way we can find it?

    We know the circumference of the base. Maybe that's a clue.

    Can you find the radius of a circle when you know the circumference?

    Circumference of a circle = (pi) x (diameter)

    18 pi units = (pi) x (diameter)

    Divide both sides by pi : 18 units = diameter

    Divide both sides by 2 : 9 units = radius yay!

    Now we know the radius and the height of the cylinder,

    so we can calculate the volume.

    radius = 9

    height = 30

    we'll use 3.14 for pi.

    Volume = (pi) (radius) ² (height) =

    (3.14) (9) ² (30) =

    (3.14) (81) (30) = 7,630.2 cubic units

    Is there a choice close to that? I'll go up and look.

    Yes! Choice 'C' is 7,630 cubic units. yay!
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