the radius and height of a cylinder are in the ratio 5:7 and it's volume is 550cm cube find its radius and height?
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Let the radius be 5x cm and height be 7x cm respectively.Then,
Volume = 550 cm^2
, πr^2h = 550cm^2
22/7 * (5x)^2 * 7x = 550
22/7 * 25x^2 * 7x = 550
22*25x^3 = 550
550x^3 = 550
x^3 = 550/550
x^3 = 1
x = 1
Hence, radius of the cylinder = 5x
= 5 * 1 cm
= 5 cm
height of the cylinder = 7x
= 7 * 1 cm
= 7 cm
Volume = 550 cm^2
, πr^2h = 550cm^2
22/7 * (5x)^2 * 7x = 550
22/7 * 25x^2 * 7x = 550
22*25x^3 = 550
550x^3 = 550
x^3 = 550/550
x^3 = 1
x = 1
Hence, radius of the cylinder = 5x
= 5 * 1 cm
= 5 cm
height of the cylinder = 7x
= 7 * 1 cm
= 7 cm
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