A cone has a volume of 263.9 cm^3 and base radius 6 cm. What is the height of the cone?

May 30, 2017

The height of the cone is approximately $7 \text{cm}$.

Explanation:

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

$263.9 = \frac{1}{3} \pi {6}^{2} h$

$263.9 = 1.047 \times 36 \times h$

$263.9 = 37.699 \times h$

h = 263.9 ÷ 37.699

$h = 7.0002$

With the rounding of the decimals for $\pi$ and the overall Volume, we can estimate that The height of the cone is $7 \text{cm}$