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, \( h \) is the height, and \( \pi \) is approximately 3.14.
- First, calculate the radius. The diameter is given as 20 cm, so the radius \( r \) is:
\[ r = \frac{diameter}{2} = \frac{20 , cm}{2} = 10 , cm \]
- Now plug the radius and height into the volume formula. The height \( h \) is given as 15 cm:
\[ V = \frac{1}{3} \times 3.14 \times (10 , cm)^2 \times 15 , cm \]
- Calculate \( (10 , cm)^2 \):
\[ (10 , cm)^2 = 100 , cm^2 \]
- Now substitute \( 100 , cm^2 \) into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 100 , cm^2 \times 15 , cm \]
- Calculate \( 3.14 \times 100 , cm^2 \):
\[ 3.14 \times 100 = 314 , cm^2 \]
- Now calculate \( 314 , cm^2 \times 15 , cm \):
\[ 314 , cm^2 \times 15 , cm = 4710 , cm^3 \]
- Finally, divide by 3:
\[ V = \frac{4710 , cm^3}{3} = 1570 , cm^3 \]
Thus, the volume of the cone is 1,570 cubic centimeters.
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