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

Responses

2,009.6 cubic centimeters
2,009.6 cubic centimeters

1,256 cubic centimeters
1,256 cubic centimeters

502.4 cubic centimeters
502.4 cubic centimeters

628 cubic centimeters

1 answer

To find the volume of the glass, we first assume that it is a cylinder, where the formula for the volume \( V \) of a cylinder is given by:

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

where \( r \) is the radius and \( h \) is the height.

Given:

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

Now, substitute these values into the formula:

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

Using \( \pi \approx 3.14 \):

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

Therefore, the volume of the glass is approximately 502.4 cubic centimeters.

The correct response is: 502.4 cubic centimeters