Calculate the volume of a cylinder with a radius of 5 in. and height of 10 in. (Formula: V = (pi x r^2) x h

Question

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1 point

261.7 in^3
523.3 in^3
785 in^3

Answer 1

To calculate the volume of the cylinder, we can use the formula provided:

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

Where:

• \( r \) is the radius (5 inches)
• \( h \) is the height (10 inches)
• \( \pi \approx 3.14159 \)

Now plug in the values:

1. Calculate \( r^2 \):

\[ r^2 = 5^2 = 25 \]

2. Multiply by \( \pi \):

\[ \pi r^2 \approx 3.14159 \times 25 \approx 78.53975 \]

3. Multiply by the height \( h \):

\[ V = \pi r^2 h \approx 78.53975 \times 10 \approx 785.3975 \]

Rounding off, the volume is approximately:

\[ V \approx 785 , \text{in}^3 \]

So the answer is:

785 in³