SOLUTION: A heavy metal sphere with radius 10cm is dropped into a right circular cylinder with base radius of 10cm. If the original cylinder has water in it that is 20cm high, how high is th
Algebra.Com
Question 173463: A heavy metal sphere with radius 10cm is dropped into a right circular cylinder with base radius of 10cm. If the original cylinder has water in it that is 20cm high, how high is the water after the sphere is placed in it?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
The volume of the cylinder with water level at 20 cm is
:
cu cm
:
volume of the sphere is
:
:
the water level has to rise to account for the displaced volume water when the sphere is placed in it and has to be equal to the volume of the sphere.
:
so we will add the volume of the sphere to the volume of the cylinder and solve for the unknown h.
:
:
:
:
cm is the level of the water after the sphere is place in it.
RELATED QUESTIONS
A heavy metal sphere with radius 10 cm is dropped into a
right circular cylinder with... (answered by vleith,RAY100)
. A heavy metal sphere with radius 10 cm is dropped into a
right circular cylinder with... (answered by solver91311)
A heavy metal sphere with radius 10 cm is dropped into a
right circular cylinder with... (answered by ankor@dixie-net.com)
a metal sphere with a volume of 900cm cubed is placed in a cylinder with a radius of 10cm (answered by lwsshak3)
A cylinder of radius of 10cm. It already contains water to depth of 15cm. A metal sphere... (answered by lynnlo)
A cylinder of radius of 10cm. It already contains water to depth of 15cm. A metal sphere... (answered by ankor@dixie-net.com)
What is the volume and area of a sphere with a radius of 10cm (answered by addingup)
A cylinder 1 foot long and with a 6 inch radius is filled with water. A metal ball is... (answered by Alan3354)
A metallic sphere 50 cm in radius is made into the largest right circular cone whose... (answered by ikleyn)