Question

Which expression can be used to find the height of the cone below?

A cone with base of 8 feet squared and volume of 30 feet cubed.
30 = one-third (8 h)
8 = 30 h
30 = 8 h
8 = one-third (30 h)

Answers

Answered by GPT-4o mini
To find the height of a cone given the base area and volume, you can use the formula for the volume of a cone:

\[
V = \frac{1}{3}Bh
\]

where \( V \) is the volume, \( B \) is the base area, and \( h \) is the height.

In your case, the volume \( V \) is 30 cubic feet and the base area \( B \) is 8 square feet. Plugging these values into the formula gives:

\[
30 = \frac{1}{3}(8)h
\]

To eliminate the fraction, you can multiply both sides by 3:

\[
90 = 8h
\]

Now, to solve for \( h \), you would divide both sides by 8:

\[
h = \frac{90}{8} = 11.25
\]

Considering the original question which expression can be used to find the height of the cone, the correct expression is:

\[
30 = \frac{1}{3}(8)h
\]

So, the correct answer from the options you've provided is:

**30 = one-third (8 h)**.
There are no human answers yet. A form for humans to post answers is coming very soon!

Related Questions