Question

What is the ratio of the volumes of a cylinder, a cone , if each has the same diameter
and same height?

Answer 1

Answer:

3:1:2

Step-by-step explanation:

Let r is the radius of base and h is the height of the cylinder ,cone and hemisphere

As height of the hemisphere=Radius of the hemisphere

∵h=r

Volume of the cylinder=πr

2

h=πr

2

r=πr

3

Volume of a cone=

3

1

πr

2

h=

3

1

πr

2

r=

3

1

πr

3

Volume of the hemisphere=

3

2

πr

3

Volume of the cylinder:Volume of the cone:Volume of the hemisphere

⇒πr

3

:

3

1

πr

3

:

3

2

πr

3

⇒1:

3

1

:

3

2

⇒3:1:2

Answer 2

Answer:

3:1:2 .............☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️