A sphere of radius 5 cm is lowered into a rectangular tank 50 cm long and 20 cm wide containing water to a depth of 10 cm. The sphere floats with half of its surface above the level of the surface of the water. Calculate a) the volume of the sphere%; b) the volume of water in the tank; c) the surface area of the sphere above the water.
A sphere of radius 5 cm is lowered into a rectangular tank 50 cm long and 20 cm wide containing water to a depth of 10 cm. The sphere floats with half of its surface above the level of the surface of the water. Calculate a) the volume of the sphere%; b) the volume of water in the tank; c) the surface area of the sphere above the water.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:c) the surface area of the sphere above
A sphere of radius 5 cm is lowered into a
rectangular tank 50 cm long and 20 cm
wide containing water to a depth of 10 cm.
The sphere floats with half of its surface
above the level of the surface of the water.
Calculate
a) the volume of the sphere%;
b) the volume of water in the tank;
C) the surface area of the sphere above
the water.
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