The respective ratio of curved surface area and total surface area of a cylinder is 9 :16. if the curved surface area of the cylinder is 1584 cm2, what is its height
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The total surface area is :
16/9 × 1584 = 2816
Curved surface area = 2πrh
2 × 22/7 × rh = 44/7rh
44/7rh = 1584
rh = 252
Total surface area :
2πrh + 2πr² = 2816
2 × 22/7 × 252 + 2 × 22/7 × r² = 2816
44/7r² = 2816 - 1584
44/7r² = 1232
r² = 1232 × 7/44
r² = 196
r = √196
r = 14
rh = 252
14h = 252
h = 252/14
h = 18 cm
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