a spherical ball requires approximately 900cm2 of material in order to make it. Find the volume of the ball : The volume is 2579.325cm3
NOW
The ball is sold in a rectangular prism shaped box. What percentage of the volume of the box is taken up by the ball?
Please help me =)
You evidently found r from the area using
4 pi r^2 = area = 900
then
volume = (4/3) pi r^3 = (4 pi r^2) (r/3)
= 900 * (r/3)
now
the volume of the box is (2r)^3 if the sphere just fits in the cube
so the percentage= 100 * (volume of sphere/(2r)^3)
100 * (4 pi r^3 /24 r^3)
= 400 pi/24 = 52.4 %
To find the percentage of the volume of the box taken up by the ball, we need to compare the volume of the ball to the volume of the box.
Let's start by finding the volume of the box.
To find the volume of a rectangular prism (box), we need to know the length, width, and height of the box.
Unfortunately, you haven't provided these dimensions, so we can't calculate the exact volume of the box. Could you please provide the measurements?
Once we have the measurements of the box, we can then calculate its volume and compare it to the volume of the ball to determine the percentage.