Discussion

A cone has a circular base of radius 6m and volume 84π m³. height of cone is

Answer: A

Rearrange the cone volume formula for the height. The \( \pi \) appears on both sides and cancels.

\[ V = \frac{1}{3}\pi r^{2} h \quad\Longrightarrow\quad 84\pi = \frac{1}{3}\pi (6)^{2} h \]

\[ 84 = \frac{36h}{3} = 12h \]

\[ h = 7 \text{ m} \]

Because the volume is quoted as a multiple of \( \pi \), no decimal approximation is needed anywhere.

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