Question

The sphere has a volume of approximately 113.04 cubic inches. What is the radius of the ball?
Formula: V=4/3πr^3

Answer 1

Hi there. You have the volume formula, so, plus in the volume for V and solve.

Answer 2

You know V=113.04, so substitute that into your volume formula.

Answer 3

OK, so the next step is to write that down, what does it look like?

Answer 4

i.e. write down the volume formula with your substitution there for V.

Answer 5

Right. Now can you divide both sides by 4/3, then divide both sides by pi?

Answer 6

right.

Answer 7

Equivalently, you could divide both sides by 4, then multiply both sides by 3.

Answer 8

yep, now divide both sides by pi.

Answer 9

Our goal is to get everything on the right to cancel out except plain old 'r'.

Answer 10

84.78/3.14?

Answer 11

yep.

Answer 12

You're so close! Now take the cube root of both sides.

Answer 13

Pre Algebra student here.
How would you cube root r^3?
Wait that would cancel it out right?