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dsp73
3 years ago
15

What is the volume of the Sphere below?

Mathematics
2 answers:
marysya [2.9K]3 years ago
7 0
\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\quad 
\begin{cases}
r=radius\\
-----\\
r=3
\end{cases}\implies V=\cfrac{4\pi 3^3}{3}\implies V=36\pi
Travka [436]3 years ago
4 0
ANSWER

The volume of the given sphere is

36 \pi \: units \:  {}^{3}

EXPLANATION

The volume of a sphere is calculated using the formula,

Volume= \frac{4}{3}  \pi \:  {r}^{3}


Where
r = 3 \:  \: units \:
is the radius of the sphere.



We substitute this value into the formula to obtain,


Volume= \frac{4}{3}  \pi \:  {3}^{3}


This simplifies to,

Volume= 4 \pi  \times  {3}^{2}


This will give us,

Volume= 4 \pi  \times  9


We finally multiply out to obtain,

Volume= 36\pi \: units \:  {}^{3}

The correct answer is therefore B.
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