Question

question what is the volume of a hemisphere with a radius of 4.9 ft, rounded to the nearest tenth of a cubic foot? answer attempt 1 out of 2 ft³ submit answer

Explanation:

Step1: Recall volume formula for hemisphere

The volume formula for a hemisphere is $V=\frac{2}{3}\pi r^{3}$, where $r$ is the radius.

Step2: Substitute the given radius

Given $r = 4.9$ ft, we substitute it into the formula: $V=\frac{2}{3}\pi(4.9)^{3}$.
First, calculate $(4.9)^{3}=4.9\times4.9\times4.9 = 117.649$.
Then, $V=\frac{2}{3}\pi\times117.649$.
$V=\frac{235.298\pi}{3}\approx\frac{235.298\times3.14159}{3}$.
$235.298\times3.14159 = 739.6977$.
$V=\frac{739.6977}{3}\approx246.6$.

Answer:

$246.6$