The radius of base of a cylinder is twice the height of the cylinder. If the volume of the cylinder is
4312 cm, find :
(a) the height
(b) the radius
(c) the lateral surface area
ECAPITULATION
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Step-by-step explanation:
a) let the height be x
so the radius=2x
volume of cylinder=4312
volume of cylinder= πr^2h
4312 =22/7 x 2x x 2x x x
4312 x 7/22 x 1/4 = x^3
343 = x^3
7cm = x
height = 7cm
b)radius= 2x= 2 x 7= 14cm
c) Lateral Surface area of cylinder= 2πrh
= 2 x 22/7 x 14 x 7
= 616 cm^2
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