Question

the radius of the base and height of a cylinder are in the ratio 2 is to 3 if its volume is 1617 cm cube find the total surface area of the cylinder

Answer 1

Answer:

Step-by-step explanation:

Let the Radius and base of the cylinder be 2x and 3x cm respectively.

Volue of cylinder = πr2h = 1617 cm³ (given)

or (22/7)(2x)² × 3x =  1617 cm³

x³ = (1617×7)/(22×4×3) = 343/8

Take the cube root of both the sides.

X = 7/2 = 3.5 So Radius = 2×3.5 = 7 cm and Height = 3.5×3 = 10.5 cm.

Total Surface area of cylinder = 2πr(r+h) = 2×(22/7)×7(7+10.5) = 2×22×17.5 = 770 cm²

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