The curved surface area of a cylinder is 4400cm^2 and the circumference of its base is 220cm Find the height of the cylinder.
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Answer:
Consider r as the radius as h as the height of cylinder It is given that Surface area of cylinder = 2 πrh By substituting the values 2 πrh = 4400 …… (1) It is given that circumferences of its base = 2 πr So we get 2 πr = 110 We know that 2 πrh/2 πr = 4400/ 110 On further calculation h = 40cm Substituting the value of h in (1) We get 2 × (22/7) × r × 40 = 4400 On further calculation r = (4400 × 7)/ (44 × 40) So we get r = 17.5cm We know that Volume of cylinder = πr2h By substituting the values Volume of cylinder = (22/7) × (17.5)2 × 40 So we get Volume of cylinder = 38500 cm3 Therefore, the height of the cylinder is 40cm and the volume is 38500 cm3.Read more on Sarthaks.com - https://www.sarthaks.com/721400/curved-surface-area-cylinder-4400-2and-circumference-base-find-height-volume-cylinder