Question

An ice cream cone has a diameter of 6 inches and a height of 7 inches. What number can be used to complete the volume statement for the ice cream cone?

Volume =
Pi inches cubed

Answer 1

To calculate the volume of the ice cream cone, we can use the formula for the volume of a cone:

\[
V = \frac{1}{3} \pi r^2 h
\]

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

1. **Find the radius**: The diameter of the cone is given as 6 inches, so the radius \( r \) is half of that:

\[
r = \frac{6}{2} = 3 \text{ inches}
\]

2. **Height of the cone**: The height \( h \) is given as 7 inches.

3. **Plug the values into the formula**:

\[
V = \frac{1}{3} \pi (3)^2 (7)
\]

4. **Calculate \( (3)^2 \)**:

\[
(3)^2 = 9
\]

5. **Now substitute back into the volume formula**:

\[
V = \frac{1}{3} \pi (9)(7)
\]

6. **Calculate \( 9 \times 7 \)**:

\[
9 \times 7 = 63
\]

7. **Now substitute back into the formula**:

\[
V = \frac{1}{3} \pi (63)
\]

8. **Calculate \( \frac{63}{3} \)**:

\[
\frac{63}{3} = 21
\]

Thus, we have:

\[
V = 21 \pi \text{ inches}^3
\]

Therefore, the number that can be used to complete the volume statement is:

\[
\boxed{21}
\]