QUESTION IMAGE
Question
21.6 cm
sa =
v =
Step1: Recall surface - area formula for a sphere
The surface - area formula of a sphere is $SA = 4\pi r^{2}$, where $r$ is the radius of the sphere. Given $r = 21.6$ cm.
$SA=4\pi(21.6)^{2}$
$SA = 4\pi\times466.56$
$SA=1866.24\pi\approx1866.24\times3.14 = 5862.7936\approx5862.79$ $cm^{2}$
Step2: Recall volume formula for a sphere
The volume formula of a sphere is $V=\frac{4}{3}\pi r^{3}$.
$V=\frac{4}{3}\pi(21.6)^{3}$
$V=\frac{4}{3}\pi\times10077.696$
$V = \frac{40310.784}{3}\pi$
$V\approx\frac{40310.784}{3}\times3.14$
$V\approx42298.04$ $cm^{3}$
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$SA\approx5862.79$ $cm^{2}$
$V\approx42298.04$ $cm^{3}$