Question

What is the volume of a cone with height 8 and radius 3? Use 3.14 for π.
STEP BY STEP PLSSSSSEESE

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,
- \( h \) is the height of the cone,
- \( \pi \) is a constant approximately equal to 3.14.

Let's apply this step by step with the given values of height \( h = 8 \) and radius \( r = 3 \).

**Step 1: Substitute the values into the formula.**
\[
V = \frac{1}{3} \cdot 3.14 \cdot (3)^2 \cdot 8
\]

**Step 2: Calculate \( (3)^2 \) (the square of the radius).**
\[
(3)^2 = 9
\]

**Step 3: Now, substitute \( 9 \) back into the volume formula.**
\[
V = \frac{1}{3} \cdot 3.14 \cdot 9 \cdot 8
\]

**Step 4: Calculate \( 9 \cdot 8 \) (the product of the square of the radius and the height).**
\[
9 \cdot 8 = 72
\]

**Step 5: Now substitute \( 72 \) back into the formula.**
\[
V = \frac{1}{3} \cdot 3.14 \cdot 72
\]

**Step 6: Calculate \( 3.14 \cdot 72 \).**
\[
3.14 \cdot 72 = 226.08
\]

**Step 7: Finally, divide by 3.**
\[
V = \frac{226.08}{3} = 75.36
\]

So, the volume of the cone with height 8 and radius 3 is approximately:

\[
\boxed{75.36}
\]