Question

9. A vase is shaped like a cylinder. The diameter is 2 - inches and the height of the container is 6 inches. Which measurement is closest to the volume of the vase in cubic inches? A) 17 B) 19 C) 35 D) 137

Answer 1

To answer this question, we need to know the formula to calculate the volume of a cylinder. This formula is as follows:

`V_{\text{cylinder}}=\pi\cdot r^2\cdot h`

Where

pi is approximately 3.1415926535...(it is an irrational number.)

r is the radius of the base of the cylinder.

h is the height of the container.

We have that the radius of a circle is half of its diameter. In this case, we can apply the same to the circle of the base of the cylinder. Then, we have that if the diameter is 2 inches, then the radius is half of this. Thus, the radius, in this case, is r = 1 inch.

Then, we have:

r = 1 in.

h = 6 in.

Now, we can apply the formula given above to find the volume of the cylinder:

`V_{\text{cylinder}}=\pi\cdot(1in)^2\cdot6in=6\pi\text{ cubic inches}`

If we have that pi = 3.141592..., we have that:

`V_{\text{cylinder}}=18.8495559215\approx18.85\text{ cubic inches}`

This value is close to 19 cubic inches. Then, the correct option is option B.