Question

question
what is the volume of a hemisphere with a radius of 26.7 m, rounded to the nearest tenth of a cubic meter?
answer attempt 2 out of 2
39877.9 m³ submit answer

Explanation:

Step1: Recall volume formula for sphere

The volume formula for a sphere is $V_{sphere}=\frac{4}{3}\pi r^{3}$. A hemisphere is half - of a sphere, so the volume formula for a hemisphere is $V_{hemisphere}=\frac{2}{3}\pi r^{3}$.

Step2: Substitute the radius value

Given $r = 26.7$ m. Substitute $r$ into the formula: $V=\frac{2}{3}\pi(26.7)^{3}$.
First, calculate $(26.7)^{3}=26.7\times26.7\times26.7 = 19005.063$.
Then, $V=\frac{2}{3}\pi\times19005.063$.
$\frac{2}{3}\times19005.063 = 12670.042$.
$V = 12670.042\pi$.
Using $\pi\approx3.14159$, $V\approx12670.042\times3.14159$.
$V\approx39877.9$ $m^{3}$.

Answer:

$39877.9$ $m^{3}$