Find the volume of a cylinder if it has a diameter of 8 and a height of 12.

2412.74

96

603.19

112

1 answer

To find the volume of a cylinder, you can use the formula:

V=πr2h

where V is the volume, r is the radius, and h is the height.

  1. First, we need to find the radius. The diameter of the cylinder is 8, so the radius r is:

r=diameter2=82=4

  1. Now, we can plug the radius and height into the volume formula. The height h is given as 12.

V=π(4)2(12)

  1. Now, calculate (4)2:

(4)2=16

  1. We can now substitute back into the volume formula:

V=π1612

  1. Simplifying this gives:

V=192π

  1. Using π3.14:

V1923.14602.88

Thus, the volume of the cylinder is approximately 603.19 when rounded.

So, the answer is 603.19.