Question

A container used to hold sugar is in the shape of a cylinder with a diameter of 10 inches and a height of 8 inches. Which measurement is closest to the volume of the storage container in cubic inches?

A. 2,513.27 in.^3
B. 1,256.64 in.^3
C. 628.32 in.^3
D.314.16 in.^3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the volume of a cylinder, you use the formula V = πr^2h, where r is the radius and h is the height.

Given that the diameter is 10 inches, the radius (r) would be half of that, so r = 5 inches.

Plugging in the values:
V = π(5)^2(8)
V = π(25)(8)
V = 200π

Now, approximate the value by using 3.14 for π:
V ≈ 200(3.14)
V ≈ 628.32 in^3

Therefore, the measurement closest to the volume of the storage container is C. 628.32 in^3.