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 of the base, and \( h \) is the height of the cone.
First, we need to find the radius \( r \). The diameter is given as 5 cm, so the radius is:
\[ r = \frac{diameter}{2} = \frac{5}{2} = 2.5 \text{ cm} \]
Now we can plug the values into the formula. The height \( h \) is given as 9 cm, and using \( \pi \approx 3.14 \):
\[ V = \frac{1}{3} \times 3.14 \times (2.5)^2 \times 9 \]
Calculating \( (2.5)^2 \):
\[ (2.5)^2 = 6.25 \]
Now substitute that into the volume formula:
\[ V = \frac{1}{3} \times 3.14 \times 6.25 \times 9 \]
Next, calculate \( 3.14 \times 6.25 \):
\[ 3.14 \times 6.25 = 19.625 \]
Now, substitute this back into the volume formula:
\[ V = \frac{1}{3} \times 19.625 \times 9 \]
Now calculate \( 19.625 \times 9 \):
\[ 19.625 \times 9 = 176.625 \]
Finally, divide by 3 to find the volume:
\[ V = \frac{176.625}{3} \approx 58.875 \]
Rounding to the nearest tenth:
\[ V \approx 58.9 \text{ cubic centimeters} \]
So the volume of the cone is approximately 58.9 cm³.
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