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A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl. - Mathematics

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Question

A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl. 

Sum
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Solution

Let r be the radius of the bowl. 

∴ 2πr = 198  

`=> r = (198 xx 7)/(2 xx 22)` 

`=>` r = 31.5 cm 

Capacity of the bowl 

= `2/3pir^3` 

= `2/3 xx 22/7 xx (31.5)^3`

= 65488.5 cm3

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