A glass has a height of 10 centimeters and a width of 8 centimeters. What is the volume of the glass?(1 point)

Responses

628 cubic centimeters
628 cubic centimeters

2,009.6 cubic centimeters
2,009.6 cubic centimeters

1,256 cubic centimeters
1,256 cubic centimeters

502.4 cubic centimeters

1 answer

To find the volume of the glass, we need to assume it has a cylindrical shape (since you provided height and width).

The formula for the volume \( V \) of a cylinder is given by:

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

where:

  • \( r \) is the radius of the base of the cylinder,
  • \( h \) is the height of the cylinder,
  • \( \pi \) is approximately \( 3.14 \).

Given:

  • Height \( h = 10 \) cm,
  • Width (diameter) = 8 cm, so the radius \( r = \frac{8}{2} = 4 \) cm.

Now, substituting the values into the volume formula:

\[ V = \pi (4)^2 (10) = \pi (16) (10) = 160\pi \]

Calculating \( 160\pi \):

\[ V \approx 160 \times 3.14 = 502.4 \text{ cubic centimeters} \]

So the volume of the glass is approximately 502.4 cubic centimeters.

Therefore, the correct response is:

502.4 cubic centimeters.