00:07
All right, so we're given the radius of a sphere, r of x, equals the cube root of 3x divided by 4 pi, where x is cubic units and r is units and a radius.
00:23
So, first, if a weather balloon holds 14 ,000, 14, 130 inches cubic inches of air, what radius does the balloon have? so we now plugging in the radius of a balloon with 14 ,130 inches cubed of volume is going to be, and we just plug in.
01:07
It's going to give us the cube root of 3 times 14 ,130 divided by 4 times pi.
01:26
So i'm just going to calculate on a calculator.
01:30
I'm going to say cube root of 3 times 14 ,130 divided by 4 divided by 3 .14159 or pi.
01:48
And that gives us an answer of equals 14.
01:56
And we're going to take two decimal points.
01:59
0 .99 inches equals r of 14130.
02:11
So we know that if we have a balloon that has a volume of 14 ,130 inches cubed, we will, the radius of the balloon will be about 15 inches...