# math

posted by .

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

• math -

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

## Similar Questions

1. ### physics

One end of a wire is attached to a ceiling, and a solid brass ball is tied to the lower end. The tension in the wire is 160 N. What is the radius of the brass ball?
2. ### math

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 …

A hole is punched in a kickball. Most of the air escapes and the ball collapses and shrinks. What happens to the ball?
4. ### college physics

A small ball of mass m is aligned above a larger ball of mass M = 0.79 kg (with a slight separation), and the two are dropped simultaneously from height h = 2.0 m. (Assume the radius of each ball is negligible relative to h). (a) If …
5. ### science

which statement is true about the volume of the water displaced when the golf ball dropped into the large beaker?
6. ### Math

A ball rolls into a corner of a room, where it touches both walls (and, obviously, the floor). A larger ball rolls into the same corner so that it touches both walls and the first, smaller ball. The small ball has a radius 1 inch. …
7. ### Physics

In the figure, two balls are located in deep space. The black ball has mass 56kg and the red ball has mass 17kg. The distance between the two balls is r=24cm. (a) Find the magnitude of the acceleration of the red ball. m/s2 (b) If …
8. ### Math

the smallest regulation golf ball has a volume of 2.48 cubic inches. if the diameter of the ball were increased by 10%, or a factor of 1.1, what will the volume of the golf ball be?
9. ### math

ball a weighs 1 1/2 times as much as ball b. find all combinations of ball a and ball b that will be needed to balance 10 ball b?
10. ### Physics

15)A small ball of mass m is aligned above a larger ball of mass M = 1.2 kg (with a slight separation, as with the baseball and basketball of Figure (a)), and the two are dropped simultaneously from height h = 2.4 m. (Assume the radius …

More Similar Questions