To calculate 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.
- The diameter of the cone is 20 cm, so the radius \( r \) is half of the diameter:
\[ r = \frac{20}{2} = 10 \text{ cm} \]
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The height \( h \) is given as 15 cm.
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Now, plug in the values into the volume formula using \( \pi \approx 3.14 \):
\[ V = \frac{1}{3} \times 3.14 \times (10)^2 \times 15 \]
- Calculate \( (10)^2 \):
\[ (10)^2 = 100 \]
- Now substitute back into the formula:
\[ V = \frac{1}{3} \times 3.14 \times 100 \times 15 \]
- Multiply \( 3.14 \times 100 \):
\[ 3.14 \times 100 = 314 \]
- Next, multiply \( 314 \times 15 \):
\[ 314 \times 15 = 4710 \]
- Now divide by 3:
\[ V = \frac{4710}{3} = 1570 \]
So, the volume of the cone is:
\[ \boxed{1,570} \text{ cubic centimeters} \]
The correct response is 1,570 cubic centimeters.