Question

A sphere has a radius of 6 cm. What is the volume of the sphere​

Answer 1

904.30

Explanation:

Lets set up the equation for the volume of a sphere:

V = 4/3 x 3.14 x r³

Now/ lets substitute r for 6

V = 4/3 x 3.14 x 6³

Now, using PEMDAS, we get rid of the exponent.

V = 4/3 x 3.14 x 216

Next, multiply 4/3 by 3.14 to get 4.1866...(6 will keep repeating)

V = 4.1866 x 216

Lastly, multiply 4.1866 by 216

V = 4.1866 x 216 = 904.3

Answer 2

`\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies V=\cfrac{4\pi 6^3}{3}\\\\\\ V=288\pi \implies V\approx 1533.1`