The total surface area of a cylinder is 6512 cm^2 and the circumference of its base is 88 cm. Find : (i) its radius (ii) its volume
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Total surface area :
Area = 2πr² + 2πrh
Circumference = 2πr
22/7 × 2 × r = 88
44/7r = 88
r = 88 × 7/44
r = 14
Total surface area = 2 × 22/7 × 14² + 88h = 6512
= 1232 + 88h = 6512
88h = 6512 - 1232
88h = 5280
h = 5280/88
h = 60cm
Volume = πr²h
= 22/7 × 14² × 60 = 36960cm³
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