# How far apart are these graduations?

1. Aug 28, 2010

### dami

A certain graduated cylinder has an inside diameter of 4cm.
The graduations on its side are labeled "cc" (cubic centimeters).
1. How far apart are these graduations?
2. The cylinder is partially filled with water, and a solid sphere of radius 1.2 cm is then totally submerged therein. Through what distance does the water level rise when the sphere is so immersed?

2. Aug 28, 2010

### dami

Re: Volume

Is this correct?
1. Find the height of a cylinder whose radius is 2 cm and whose volume is 1.00 cm^3.

V = pi*r^2*h
h = V/(pi*r^2) = 1/
h = 0.0796 cm

The graduations would be 0.0796 cm apart

2. Find the height of a cylinder of radius 2 which has a volume equal to that of the sphere.

Using R = radius of sphere = 1.2 cm
V(sphere) = (4/3)pi*R^3 = 7.238229474 cm^3

V(sphere) = volume of cylinder = pi*r^2*h
h = V(sphere)/(pi*r^2) = 0.576 cm

So the level of water would rise by 0.576 cm

3. Aug 28, 2010

### schip666!

Re: Volume

That all looks right to me...

12.566 == area of 4cm diameter circle
0.0795 == height to contain 1cc volume
7.238 == volume of 1.2cm radius sphere
0.576 == height to contain 7.238cc volume

4. Aug 28, 2010

### sophiecentaur

Re: Volume

Nice bit of homework?