213k views
4 votes
The volume of this sphere is 1570/3 cubic inches. What is its radius?

User KevD
by
8.1k points

1 Answer

7 votes

1570/3 in terms of pi is
(500\pi)/(3). That's our given volume. It just make it easier to me since there is a pi in the volume formula for a sphere, which is
V=(4)/(3)\pi r^3. Replacing the V with our given volume the formula looks like this:
(500\pi)/(3) =(4)/(3)\pi r^3. If we start by mulitplying both sides by 3, the 3's in both denominators cancel out leaving us with
500\pi =4\pi r^3. We divide both sides by 4pi and the pi's cancel out anyways.
(500\pi)/(4\pi) =r^3. Doing that division you get
r^3=125. Taking the cubed root of 125 gives us that the radius is 5. So your answer is 5.

User Chiune Sugihara
by
7.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories