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)

1 answer

The formula to find the volume \( V \) of a cylinder is given by the equation:

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

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

For a cylinder with a base radius of 8 inches and a height of 40 inches, you can plug these values into the formula:

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

Now you can calculate \( V \):

  1. Calculate \( 8^2 = 64 \).
  2. Multiply that by the height: \( 64 \times 40 = 2560 \).
  3. Finally, include \( \pi \):

\[ V = 2560\pi \text{ cubic inches} \]

So, the complete formula for this specific cylinder would be:

\[ V = 2560\pi \text{ in}^3 \]

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