Question

What is the volume of a cylinder with a radius of 9 inches and a height of 2 inches? Use 3.14 for pi. Round your answer to the nearest hundredth.
500.21 cubic inches
508.68 cubic inches
550.45 cubic inches
561.75 cubic inches

Answer 1

Answer:

508.68 cubic inches

Step-by-step explanation:

Formula for volume of a cylinder= $\pi r^{2} h\\ \pi =3.14\\ r^{2} =9^{2} =81\\ h=2$

Therefore, Volume of cylinder = 3.14 * 81 * 2= 508.68 cubic inches

Answer 2

Answer:

508.68 cubic inches

Step-by-step explanation:

The volume of a cylinder is defined as

$V=A\times h$

Where $A$ is the area of the base and $h$ is the height.

In this case, we have a circular cylinder, which means the area of its bottom is circular with a radius of 9 inches. And its height is 2 inches, by given, that is

$r=9in$, $h=2in$. Also we know that $\pi \approx 3.14$.

And the area of a circle is defined as

$A=\pi r^{2}$

Replacing the radius, we have

$A=3.14 (9in)^{2} =3.14(81)in^{2} =254.34 in^{2}$

Then, we use this area to find the volume

$V=A\times h\\V=254.34in^{2}(2in)\\ V=508.68 in^{3}$

Therefore, the right answer is the second choice.