Question

the height of two cylinders are in ratio 5 is to 3 and their volume are in the ratio of 20:27 . then their ratio of radius is

Answer 1

Answer: 2:3

Step-by-step explanation:

Given, height of two cylinders are in ratio 5:3 and their volume are in the ratio of 20:27 

Let, the heights are 5p and 3p

and let, the two radius are a and b

We know, volume of a cylinder = π ×r²× h unit

Then, (π×a²×5p):(π×b²×3p) = 20:27

⇒(a/b)²×5/3 = 20/27

⇒(a/b)² = (20×3)/(5×27)

⇒(a/b)² = 4/9

⇒a/b = 2/3

⇒a:b = 2:3