Answer in Brief
A hemisphere tool of internal radius 9cm is full of liquid. This liquid is to be filled into
cylindrical shaped small bottles each of diameter 3cm and height 4cm. how many bottles are necessary to empty the bowl.
Advertisement Remove all ads
Solution
Given that internal radius of hemisphere bowl = 90m
Volume of hemisphere `=3/4pir^3`
`=2/3xxpi(9)^3` ______(1)
Given diameter of cylindrical bottle = 3cm
Radius`=3/2cm`
Height = 4cm
Volume of cylindrical = πr2h
`=pi(3/2)^2xx4` ______(2)
Volume of hemisphere bowl is equal to volume sum of n cylindrical bottles
(1) = (2)
`2/3pi(9)^3=pi(3/2)^2xx4xxn`
⇒`n=(2/3pi(9)^3)/(pi(3/2)^2xx4)`
⇒ n = 54
∴ No of bottles necessary to empty the bottle = 54.
Concept: Volume of a Combination of Solids
Is there an error in this question or solution?
Advertisement Remove all ads
Advertisement Remove all ads
