Question

what will be the ratio between the volume of a sphere and the volume of its cylinder....​

Answer 1

Step-by-step explanation:

The formulas for the volume of a sphere and the volume of a cylinder are well known. The height of the cylinder is twice that of the radius of the sphere. As we can seem the ratio is 2/3.

The volume of a cylinder with radius r and height 2r can be independently proven to be 2pi. r^3. ... r^3. That the volume of a sphere is 2/3 the volume of the associated cylinder and surface area of a sphere is 2/3 the surface area of associated cylinder are happy coincidences of mathematics

Answer 2

Answer:

2:3

Step-by-step explanation:

Hii Mate ^_^

The height of the cylinder is twice that of the radius of the sphere.

i.e. h=2r

Volume of Sphere = (4/3)πr³

Volume of Cylinder = πr²h = πr²(2r) = 2πr³

Volume of Sphere / Volume of Cylinder$=\frac{\frac{4}{3}\pi r^3}{2\pi r^3}$

=  4/(2×3)

= 4/6

=  2/3

​= 2 : 3

HOPE IT HELPS,

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