the ratio between the radius of the base and height of a cylinder is 2:3. if its volume is 1617 cm3 , find the total surface area of the cylinder.
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Answer:
let r=2y
h=3y
volume =πr2h
1617= 22/7X 2y x 2y x3y
y3 = 147x 7/ 2x2x2x3
y3= 49x7/ 2x2x2
y= 7/2
r= 7cm
h= 21/2 cm
surface area= 2πr (h+r)
=2x22/7 x7(21/2 +7)
= 22x35
= 770cm2
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