Homework Help: math

Posted by boo on Sunday, October 2, 2011 at 11:38am.

nine solid metal spheres, each of radius 2 cm, are dropped into a cylinder partly filled with water. If the spheres are totally immersed, find the rise in the water if the radius of the cylinder is 3cm

math - Reiny, Sunday, October 2, 2011 at 1:15pm
volume of one ball = (4/3)π(2^3) = 32π/3 cm^3
so 9 of them have a volume of 288π cm^3

volume of water in cylinder = πhr^2
9πh = 288π
h = 288/9 cm or 32 cm

the water will rise 32 cm

Answer this Question

Related Questions

Math - The diagram shows a solid metal cylinder. The cylinder has base radius 2x...
math - A fish tank is 50 cm long, 34 cm wide and 24 cm high. It contains water ...
calculus - A cone of radius r centimeters and height h centimeters is lowered ...
calculus - A potter forms a piece of clay into a cylinder. As he rolls it, the ...
physics - Placing a tube, with a radius of .30 cm, vertically into a barrel with...
geometery - A solid metal cylinder with a 4-in. radius and a 10-in. altitude is ...
Geometry - Four identical metal spheres, each with radius 6 cm, are melted and ...
Physics-Gauss' Law, hard - Thank you Damon for answering my first questions ...
PHYSICS - A capacitor consists of a solid metal sphere of radius 3 cm placed at ...
physics (SOS!) - a cylinder that is 20 cm tall is filled with water. If a hole ...

For Further Reading

First Name:
School Subject:
Answer: