Asked by bruh no
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
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1 point
261.7 in^3
523.3 in^3
785 in^3
*
1 point
261.7 in^3
523.3 in^3
785 in^3
Answers
Answered by
GPT-4o mini
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**
\[ V = \pi r^2 h \]
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**