find the atio of total surface area and curved surface area of a right circular cylinder given that its height and radius are 9 m and 2.1 m respectively
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radius of cylinder = 2.1m , height = 9m
lateral surface area = 2πrh
= 2π(2.1)(9) = 37.8π
total surface area of cylinder
= 2πrh + 2πr^2
= 2π(2.1)(9) + 2π(2.1)^2
= 46.62π
required ratio = 37.8π / 46.62π
= 37.8/ 46.62 = (378/ 10 )/ (4662/ 100)
= 378 × 100/ 10 × 4662
= 3780/ 4662 = 30 : 37
Answer: required ratio = 30 : 37
lateral surface area = 2πrh
= 2π(2.1)(9) = 37.8π
total surface area of cylinder
= 2πrh + 2πr^2
= 2π(2.1)(9) + 2π(2.1)^2
= 46.62π
required ratio = 37.8π / 46.62π
= 37.8/ 46.62 = (378/ 10 )/ (4662/ 100)
= 378 × 100/ 10 × 4662
= 3780/ 4662 = 30 : 37
Answer: required ratio = 30 : 37
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