a sphere has a volume of 322cm3 what is the sphere's surface area? Could someone walk me through step by step please

Question

callisto · Answer

Volume of a sphere
$$=\frac{4}{3}\pi r^3$$
It is given that the volume is 322cm^3, so you can express the radius r in term of $\pi$

Then, find the surface area by using the formula
Surface area of a sphere
$$=4\pi r^2$$

anonymous · Answer

how do you express it in Pi and how do i find the radius?

callisto · Answer

$$322= \frac{4}{3}\pi r^3$$ Divide both sides by 4/3, what do you get?

anonymous · Answer

241.5Pi^3  ???

callisto · Answer

Hmm.. Not really..
$$241.5 = \pi r^3$$$$r^3=\frac{241.5}{\pi}$$$$r=(\frac{241.5}{\pi})^\frac{1}{3}$$
Got it?

anonymous · Answer

is the radius 25.6?

callisto · Answer

No...

anonymous · Answer

4.25?

callisto · Answer

Yes :)
Now, you can calculate the surface area :)

anonymous · Answer

we got 25.6 how did you get 4.25

callisto · Answer

$x^\frac{1}{3} $ is $\sqrt[3]{x}$ , not  $\frac{x}{3}$

anonymous · Answer

ok thanks i think i got it :)

callisto · Answer

You're welcome :)