To find the volume of a cone, you can use the formula:
\[ V = \frac{1}{3} \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
- Find the radius: The diameter is given as 20 cm, so the radius \( r \) is:
\[ r = \frac{diameter}{2} = \frac{20}{2} = 10 \text{ cm} \]
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Use the height: The height \( h \) is given as 15 cm.
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Substitute into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times (10)^2 \times 15 \]
- Calculate \( r^2 \):
\[ (10)^2 = 100 \]
- Substitute back into the formula:
\[ V = \frac{1}{3} \times 3.14 \times 100 \times 15 \]
- Calculate \( 100 \times 15 \):
\[ 100 \times 15 = 1500 \]
- Now, substitute back:
\[ V = \frac{1}{3} \times 3.14 \times 1500 \]
- Calculate \( 3.14 \times 1500 \):
\[ 3.14 \times 1500 = 4710 \]
- Finally, divide by 3:
\[ V = \frac{4710}{3} = 1570 \]
The volume of the cone is 1,570 cubic centimeters.
So, the correct answer is:
1,570 cubic centimeters.