Question

The radius of the base and height of a cylinder are in ratio 2:3.If it's volume is 1617cu cm,find the total surface area of the cylinder.

Answer 1

Solution:-
r : h = 2 : 3
r/h = 2/3
3r = 2h
h = 3r/2
Now, πr²h = 1617 cu cm
22/7 × r² × 3r/2 = 1617
r³ = (1617 × 7 × 2)/(22 × 3)
r³ 343
r = ∛343
r = 7 cm
Then the height = 10.5 cm
Surface area of the cylinder = 2πr(r+h)
= (2 × 22/7 × 7) × (7 + 10.5)
= 44 × 17.5
= 770 sq cm
Answer.

Answer 2

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Step-by-step explanation: