the radius and height of a cylinder are in the ratio 5:7 and it's volume is 550 cm³ . Find its radius.
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✪GIVEN :- The radius and height of a cylinder are in the ratio 5:7 and it's volume is 550 cm³.
✪REQUIRED TO FIND :- RADIUS.
✪FORMULA USED:-
✍SOLUTION :-
Given the ratio is 5:7,
Let,
》radius = r = 5x
》height= h = 7x
V = πr²h
=> 550 = 22/7 × (5x)² × 7x
=> 550 = 22 × 25 x³
= 550 x3
》 x³ = 1
x= 1
Therefore,
》 Radius = 5x = 5×1= 5 cm
》 height = 7x = 7×1 = 7 cm.
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