Question

The ratio of the curved surface area and the total surface area is 5:8.find the ratio between the height and radius of the cylinder.

Answer 1

Answer:

Step-by-step explanation:

Csa = 2 pie r h

Tsa = 2pie r ( h + r)

2 pie r h ÷ 2 pie r ( h +r) = 5/8

2, pie, r got cancelled

H ÷ ( h + r) = 5/8

On cross multiply

8 h = 5( h+r)

8h = 5h + 5r

8h - 5h = 5r

3h = 5r

H ÷ r = 5 ÷3

H:r = 5:3

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Answer 2

Answer:

given,

ratio of CSA and TSA =5:8

CSA/TSA =5/8

2πrh/2πr(r+h) = 5/8

2πr got cancelled

h/r+h = 5/8

now by cross multiply :-

8h=5r+5h

8h-5h=5r

3h=5r

h/r= 5/3