Posted by **tl** on Monday, February 6, 2012 at 8:45pm.

a ball has a volume of 45. the radius of the larger ball is 3 times the small ball what is the volume?

- math -
**Anonymous**, Tuesday, February 7, 2012 at 5:17am
Assume the smaller ball has a volume of 45.

Since volume is proportional to r^3, and R = 3r, the larger V is 3^3 as big as the smaller v, or 27*45 = 1215.

for the details, see below

for the smaller ball, v = kr^3 with k=4pi/3

The larger ball with radius R=3r has volume

V = kR^3 = k(3r)^3 = 27kr^3 = 27v = 27*45 = 1215

## Answer This Question

## Related Questions

- college physics - A small ball of mass m is aligned above a larger ball of mass ...
- science - which statement is true about the volume of the water displaced when ...
- math - a spherical ball requires approximately 900cm2 of material in order to ...
- Math - A ball rolls into a corner of a room, where it touches both walls (and, ...
- physics - One end of a wire is attached to a ceiling, and a solid brass ball is ...
- math - ball a weighs 1 1/2 times as much as ball b. find all combinations of ...
- Physics - In the figure, two balls are located in deep space. The black ball has...
- 6th grade - A hole is punched in a kickball. Most of the air escapes and the ...
- Math - the smallest regulation golf ball has a volume of 2.48 cubic inches. if ...
- science - you have a ball of steel and a ball of iron both of the same volume. ...

More Related Questions