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?

Responses
A 2,513.27 in.³2,513.27 in.³
B 1,256.64 in.³1,256.64 in.³
C 628.32 in.³628.32 in.³
D 314.16 in.³

1 answer

To calculate the volume of a cylinder, you can use the formula:

\[ V = \pi r^2 h \]

where \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.

Given:

  • Diameter of the cylinder = 10 inches, therefore the radius \( r = \frac{10}{2} = 5 \) inches.
  • Height \( h = 8 \) inches.

Now plug the values into the formula:

\[ V = \pi (5)^2 (8) \] \[ V = \pi (25)(8) \] \[ V = 200\pi \]

Now, using \( \pi \approx 3.14 \):

\[ V \approx 200 \times 3.14 = 628 \]

Thus, the volume of the storage container is approximately \( 628.32 \) cubic inches.

The correct choice is:

C 628.32 in.³