Question

A cylinder has a base diameter of 12in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?

Answer 1

Answer:

1922.7 cubic inches

Step-by-step explanation:

The volume of a cylinder can be found with this formula:

V=πr^2h

The radius, r, is half the diameter.

So, 12/2=6

r=6 inches

Then, just plug the numbers in.

V=π(6)^2(17)

V=1922.65

Rounding to the nearest tenth:

V=1922.7 cubic inches

Answer 2

The volume of the cylinder with a radius of 6 inches and height of 17 inches is 1922.65 cubic inches.

Base diameter of the cylinder = 12 inches

So, the base radius of the cylinder =12/2 =6 inches.

Height of the cylinder = 17 inches

What is the volume of a cylinder?

The volume of a cylinder is given by $\pi r^{2} h$ where r is the radius and h is the height.

So, the volume of the cylinder with a radius of 6 inches and height of 17 inches = $\pi 6^{2} (17)$

The volume of the cylinder with a radius of 6 inches and height of 17 inches=1922.65 cubic inches.

Thus, the volume of the cylinder with a radius of 6 inches and height of 17 inches is 1922.65 cubic inches.

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