Question

$\huge \underline \mathfrak \pink{Question⇣}$

Find the ratios of volume of Cylinder , Cone and Sphere ,If they have same radius and same height.??​

Answer 1

Answer:

Since, the height of a sphere is the diameter, the cone and cylinder have height 2r.

Then Curved surface area of Sphere= 4πr²

Curved surface area of cylinder = 2πr(2r) = 4πr²

Curved surface area of cone = πrl

where, l = √(r2 + h2 ) = √( r2 + (2r)2) = √(5r2) = r√5

⇒ Curved surface area of cone = π√5r2

Now,

Ratio of CSA 's a sphere ,cylinder and a cone = 4πr2:2πrh : πrl

= 4πr2:4πr2 : πr2√5

= 4 : 4 : √5

Step-by-step explanation:

Hope this will help you.

Answer 2

Step-by-step explanation:

let the radius of the cylinder ,cone and sphere =r

let the height of the cylinder ,cone and sphere =h

volume of cylinder=πr²h

volume of cone =πr²h/3

volume of sphere =4πr³/3

so ratio =πr²h:πr²h/3:4πr³/3

=9:πr³

hope it'll help you please make it brainliest answer