Question

The ratio between the radius of the base and the height of a cylinder is 2 : 3. Find the total surface area of the cylinder of its volume in 1617 cm^3​

Answer 1

Answer:

Step-by-step explanation:

r/h = 2/3 , Volume = pie .r .r . h = 3/2 . pie . r3 = 1617

r3 = 343 , r = 7 , h = 10.5

TSA  =  2pie . r (h+r) = 2.pie.7(17.5) = 770cm2

Answer 2

Answer:

let radius and height = 2x , 3x

A/q,

V = π*r²*h = π*(2x)²*(3x) = 1617

12x³ = 1617*7/22

x³ = 1617*7/22*12

X = 3.5

radius = 3.5*2 = 7cm, Height = 3*3.5 = 10.5cm

TSA = 2πr(h+r) = 2*22/7*7(3.5+10.5) = 2*22*14 = 616cm² (Ans.)

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