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 628 cubic centimeters 628 cubic centimeters 1,256 cubic centimeters 1,256 cubic centimeters 502.4 cubic centimeters

Answer 1

To calculate the volume of a glass (which we can assume has a cylindrical shape), we can use the formula for the volume of a cylinder:

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

where \( V \) is the volume, \( r \) 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 we can substitute the values into the formula:

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

Using \( \pi \approx 3.14 \):

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

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