The radius and the area of the total surface of a cylindrical container without lid are 14 centimeter and 1320 square centimeter respectively. Find the height and volume of the cotainer ?
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Step-by-step explanation:
let height of cylinder = h cm
total surface area of cylinder = 2πrh + πr^2
= πr (2h+r) cm sq.
here, r = 14cm
πr (2h+r) = 1320 cm sq.
π = 22/7
22/7*14 (2h + 14)= 1320
44 (2h + 14) = 1320
2h + 14 = 1320/44
2h + 14 = 30
2h = 16
h = 8 cm
volume of cylinder = πr^2 h
22/7*14*14*8
= 44*14*8
= 44*112
= 4928 cm cube
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