Question

Volume of cone with height 15 ft and radius 10ft use π3.14 and round to nearest hundredth

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,
- \( h \) is the height, and
- \( \pi \) is approximately \( 3.14 \).

Given:
- \( r = 10 \) ft
- \( h = 15 \) ft

Now plug in the values:

\[
V = \frac{1}{3} \times 3.14 \times (10)^2 \times 15
\]

Calculating \( (10)^2 \):

\[
(10)^2 = 100
\]

Now substituting back into the volume formula:

\[
V = \frac{1}{3} \times 3.14 \times 100 \times 15
\]

Calculating \( 100 \times 15 \):

\[
100 \times 15 = 1500
\]

Now substituting:

\[
V = \frac{1}{3} \times 3.14 \times 1500
\]

Calculating \( 3.14 \times 1500 \):

\[
3.14 \times 1500 = 4710
\]

Now, divide by 3:

\[
V = \frac{4710}{3} = 1570
\]

Thus, the volume of the cone is:

\[
V \approx 1570 \text{ ft}^3
\]

Rounded to the nearest hundredth, the volume is:

\[
V = 1570.00 \text{ ft}^3
\]