The radius and the height of a cylinder are in the ratio 5 : 7 and its volume is 550cm3. Then its radius is
(A) 4cm (B) 5cm (C) 4.5cm (D) 5.5cm
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let the ratio constant of radius and height be 5x and 7x .
now,
volume = πr²h
=22/7 ×5x ×5x ×7x= 550
x² = 550/25×22
x² = 1
x=1
therefore,
radius =5x =5×1 =5
now,
volume = πr²h
=22/7 ×5x ×5x ×7x= 550
x² = 550/25×22
x² = 1
x=1
therefore,
radius =5x =5×1 =5
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