Complete the formula we would use to find the volume of a

cylinder with a base radius of 8 in. and a height of 40 in.?
*Hint: Don't forget to use your Desmos calculator and STAAR
Reference Sheet to help!
Remember to use the symbol on your Desmos calculator.
(1 point)
π

1 answer

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

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

Where:

  • \( V \) = volume of the cylinder
  • \( r \) = radius of the base of the cylinder
  • \( h \) = height of the cylinder

In this case:

  • The base radius \( r = 8 \) inches
  • The height \( h = 40 \) inches

Substituting these values into the formula gives:

\[ V = \pi (8)^2 (40) \]

So, the complete formula to find the volume of the cylinder is:

\[ V = \pi (8^2)(40) \]

You can simplify it further if needed:

\[ V = \pi (64)(40) \]

Thus, the volume can also be expressed as:

\[ V = 2560\pi \] cubic inches.

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