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.
- 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 \( h \) of the cone is given as 15 cm.
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Using \( \pi = 3.14 \):
Now plug the values into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times (10)^2 \times 15 \] \[ V = \frac{1}{3} \times 3.14 \times 100 \times 15 \] \[ V = \frac{1}{3} \times 4710 \] \[ V = 1570 \text{ cubic centimeters} \]
So, the volume of the cone is 1,570 cubic centimeters.
The correct response is:
1,570 cubic centimeters.