Question

A cone with a height of 9ft and radius of 8ft is shown

What is the slant height of the cone?



(1 point)
Responses

97 ft; Use the volume formula
97 ft; Use the volume formula

12 ft; Use the Pythagorean Theorem
12 ft; Use the Pythagorean Theorem

7 ft; Use the volume formula
7 ft; Use the volume formula

9.8 ft; Use the Pythagorean Theorem

Answer 1

To find the slant height of a cone, you can use the Pythagorean Theorem. The slant height (l) can be found using the formula:

\[
l = \sqrt{r^2 + h^2}
\]

where \( r \) is the radius and \( h \) is the height of the cone.

For this cone:
- Height (\( h \)) = 9 ft
- Radius (\( r \)) = 8 ft

Substituting the values into the formula:

\[
l = \sqrt{8^2 + 9^2}
\]
\[
l = \sqrt{64 + 81}
\]
\[
l = \sqrt{145}
\]
\[
l \approx 12.04 \text{ ft}
\]

So the slant height of the cone is approximately 12 ft.

Thus, the correct response is:

**12 ft; Use the Pythagorean Theorem**.