Question

ratio of volume of sphere is to volume of cone​

Answer 1

Answer:

2:1

Step-by-step explanation:

Let R be a radius of a sphere, h and r are height and radius of cone respectively.

Given: Diameter of base of cone= Diameter of sphere

d=D⇒ r=R

Now volumes are equal,

∴

3

1

πr

2

h=

3

4

πR

3

Cancelling 3,π,r&R

∴h=4R

⇒h=4

2

D

⇒h=2D

⇒

D

h

=2

Thus, h:D=2:1

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Answer 2

Answer:

3:1

Step-by-step explanation:

Volume of the cone is

1/3×pi× r^2 h