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sharvan kumar yadav

· started a discussion

· 1 Months ago

cylinder formula (Question: 190189.0 )

how derive the formula of this type of cylinder

Question:
Half of a large cylindrical tank open at the top is filled with water and identical heavy spherical balls are to be dropped into the tank without spilling the water out. If the radius and the height of the tank are equal and the height of the cylinder is four times the radius of a ball, what is the maximum number of balls that can be 

dropped  ? 

Options:
A) 12
B) 24
C) 36
D) 48
Solution:
Ans: (b) 


Knowledge Expert

· commented

· 1 Months ago

Dear Student,

volume of cylinder is found by multiplying the area of one end of the cylinder (base) by its height.
Since the end (base) of a cylinder is a circle, the area of that circle is given by the formula:
area = π r^2
Multiplying by the height h we get
volume = π r^2 h
where:
π is Pi, approximately 3.142
r is the radius of the circular end of the cylinder
h height of the cylinder


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