Read the radius and height of a cylinder are in ratio 7:2 if the volume of the cylinder is 8316 cm cube find the TSA of the cylinder.
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Let the meet of ratio be x.
Volume of cylinder = 8316
pi * r^2 * h = 8316
22/7 * (7x)^2 * 2x = 8316
22/7 * 49x^2 * 2x = 8316
308 x^3 = 8316
x^3 = 8316/308 = 27
x= 3cm
Hence radius = 7x = 7*3=21cm and
Height = 2x = 2*3=6cm.
Since TSA of cylinder = 2*pi*r (r+h)
= 2*22/7 * 21 *(21+6)
= 132* 27cm^2
= 3564cm^2.
Hope it's helpful to u.
Volume of cylinder = 8316
pi * r^2 * h = 8316
22/7 * (7x)^2 * 2x = 8316
22/7 * 49x^2 * 2x = 8316
308 x^3 = 8316
x^3 = 8316/308 = 27
x= 3cm
Hence radius = 7x = 7*3=21cm and
Height = 2x = 2*3=6cm.
Since TSA of cylinder = 2*pi*r (r+h)
= 2*22/7 * 21 *(21+6)
= 132* 27cm^2
= 3564cm^2.
Hope it's helpful to u.
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12
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