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Question
"The volume of a cylinder V is equal to the product of π and square of radius r and the height h". Express this statement as a formula. Make r the subject formula. Find r, when V = 44cm3, π = `(22)/(7)`, h = 14cm.
Solution
Volume of cylinder = V
Product of π and Square of radius r and the height h = πr2h
i.e. V = πr2h
V = πr2h
⇒ `"V"/("h"pi)` = r2
⇒ r = `sqrt("V"/(pi"h")`
When V = 44cm3 , π = `(22)/(7)`, h = 14cm
⇒ r = `sqrt(44/(22/7 xx 14)`
= `sqrt(1)`
= 1cm.
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