Question

A SPHERE , CYLINDER AND A CONE ARE OF THE SAME HEIGHTS AND SAME RADII . FIND THE RATIO OF THEIR VOLUMES ..... FAST ......

Answer 1

Hi there!
Here's the answer:

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Volume of Sphere = (4/3)Πr²h
Volume of Right circular Cylinder = Πr²h
Volume of Right Circular cone = (1/3)Πr²h

Let heights of cylinder and cone are equal to the diameter of the sphere.
Let radius of sphere = r
& Diameter = 2r

•°• Height of the cylinder = Height of cone = 2r

Also radius of all shapes are equal i. e., 2r

Required Ratio
= sphere : cylinder : cone

(4/3)Πr²h : Πr²h : (1/3)Πr²h

Put h = 2r

= (4×2/3)Πr³ : 2Πr³ : (2/3) Πr³
= (8/3) : 2 : (2/3)
= (4/3): 1 : (1/3)
= 4 : 3 : 1

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Hope it helps