SOLUTION: A cylindrical tin has an internal diameter of 18cm. It contains water to a height of 13.2m when a heavy spherical metal ball is immersed in it, what is the new height of the water
Algebra.Com
Question 1065111: A cylindrical tin has an internal diameter of 18cm. It contains water to a height of 13.2m when a heavy spherical metal ball is immersed in it, what is the new height of the water level
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A cylindrical tin has an internal diameter of 18cm.
It contains water to a height of 13.2m when a heavy spherical metal ball is immersed in it, what is the new height of the water level
:
Assuming the ball diameter is the same as the cylinder diameter
The radius of the ball and the cylinder = 9 cm
:
Find the volume of the water
V =
V = 3359 cu/cm
:
Find the volume of the sphere
v =
v = 3053.63 cu/cm
This amt of water will be displaced when the ball is submerged
therefore: 3359 + 3053.63 = 6412.62 Cu/cm is the occupied volume
:
Let h = the height of water when the ball is submerged
= 6412.62
254.47h = 6412.62
h =
h = 25.2 cm is the new height of the water
RELATED QUESTIONS
A cylindrical tin has an internal diameter of 18 cm. It contains water to a height of... (answered by astromathman)
A cylinderical tin has an internal diameter of 18cm.It contains water to a height of... (answered by josgarithmetic)
A heavy 9cm diameter ball is placed in an empty cylindrical tin of diameter 12cm. Enough... (answered by math_tutor2020)
A cylindrical shaped vase has a radius of 3cm and a height of 18cm. How much water would... (answered by Alan3354)
A cylindrical tin 8cm in diameter contains water to a depth of 4cm. If a cylindrical... (answered by ikleyn)
A spherical water tank has a diameter of 10 feet. How much water does it hold when half... (answered by nerdybill)
a closed cylindrical tin is required to contain 500cc
show that an equation for the... (answered by Cromlix)
a cylindrical drain pipe has internal and external diameter of 6.4cm and 7.6cm,... (answered by ikleyn)
A conical water filter has a diameter of 60cm and a depth of 24cm. It is filled to the... (answered by NeedHelpUrgently,Alan3354)