Question

radius of a cylinder is twice that of a cone. height of the cone is twice that of the cylinder.com ratio of the volume of cylinde to.that of the cone is​

Answer 1

Answer:

3ratio 2 is the ratio of volume of cylinder and cone

Answer 2

The ratio of the volume of the cylinder to that of the cone is 6:1.

Step-by-step explanation:

Let's assume:

r₁ = radius of the cylinder

h₁ = height of the cylinder

r₂ = radius of the cone

h₂ = height of the cone

It is given that,

The radius of the cylinder is twice that of the cone i.e., r₁ = 2r₂

and

The height of the cone is twice that of the cylinder i.e., h₂ = 2h₁ ⇒ h₁ = ½h₂

Thus,

The ratio of the volume of the cylinder to that of the cone is given by,

= [Volume of cylinder] / [Volume of cone]

= [π r₁² h₁] / [$\frac{1}{3}$ π r₂² h₂]

substituting r₁ = 2r₂ and h₁ = ½h₂

=  [π (2r₂)² (½h₂)] / [$\frac{1}{3}$ π r₂² h₂]

=  [π × 4 × r₂² × (½h₂)] / [$\frac{1}{3}$ × π × r₂² × h₂]

= [π × 2 × r₂² × h₂] / [$\frac{1}{3}$ × π × r₂² × h₂]

cancelling all the similar terms

= $\frac{2}{\frac{1}{3}}$

= 6 : 1

----------------------------------------------------------------------------------------------

Also View:

Volume of right circular cylinder is twice the volume of the right circular cone.

https://brainly.in/question/3223285

There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former.Find the ratio of their radii .

https://brainly.in/question/1028159