Question

Find the radius round your answer to the nearest tenth

Answer 1

Answer:

r = 3m

Step-by-step explanation:

Formula for the volume of a sphere: V = $\frac{4}{3}$$\pi$$r^{3}$

We want to find the radius so we use algebra to rearrange the equation to make the radius (r) the subject of the equation

Divide both sides by $\frac{4}{3}$

$\frac{3V}{4}$ = $\pi$$r^{3}$

Divide both sides by $\pi$

$\frac{3V}{4\pi }$ = $r^{3}$

Take the cube root of both sides

$\sqrt[3]{\frac{3V}{4\pi } }$= r

Substitute V = 36$\pi$ into the equation

r = $\sqrt[3]{\frac{3(36\pi) }{4\pi } }$

Expand the bracket

r = $\sqrt[3]{\frac{108\pi }{4\pi } }$

Divide 108$\pi$ by 4$\pi$ (For this, the two $\pi$ in the numerator and denominator cancel each other out, and you only need to divide 108/4)

r = $\sqrt[3]{27}$

The cube root of 27 is 3, because $3^{3}$ = 3 x 3 x 3 = 27

r = 3