Question

Volume of cones practice
What is the volume of the cone in cubic centimeters with tha height of 9 cm and diameter of 5 cm use 3.14 for pi round ur answer to the nearest tenth

Answer 1

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**.