Question

the radius of base of a cylinder is the same as that of sphere if there volume are equal what is the ratio of the height of the cylinder to its radius

Answer 1

Answer:

4:3

Step-by-step explanation:

r of cyl. = r of sphere

v of cyl. = v of sphere

4/3πr³=πr²h

h=4/3*r³/r²

h=4/3*r

h=4r/3

h/r=4/3

therefore req ratio= 4:3

Answer 2

Answer:

Step-by-step explanation:

Let r = Radius of cylinder = Radius of sphere, h = Height of the cylinder.

According to the question,

4

3

πr3=πr2h

=> h=4/3 r=>4r=3h

=> 2r=3/2

h=>2r/h=

3/2

Therefore, Required ratio = 3 : 2