Find the volume of a cylinder with height 14.7 cm and diameter 10.5 cm.

Hello!

The volume of a cylinder is found by using the formula: V = πr²h.

The problem has given us the height of the cylinder, which is 14.7 centimeters, and the diameter which is 10.5 centimeters. The volume of a cylinder requires the radius, so therefore, to find the radius, divide the diameter by half, and that will give the radius.

R = 10.5 / 2

R = 5.25 centimeters

With that radius and the height, we can find the volume of the cylinder.

V = π(5.25)²(14.7)

V = 27.5625(14.7)π

V = 405.17π, 1272.23 (multiplied by 3.14), 1272.88 (multiplied by π)

Therefore, the volume of this cylinder is 1272.88 centimeters³.

In this exercise we want to know if the inequality are equivalent so we have to:

That is an equivalent inequality.

Two or more inequalities that have the same truth set with respect to the same universe set are called equivalent inequalities, so the two inequalities are equivalent.

Then we have the two inequalities as:

See more about inequality at  link