Question

PLEASE HELP

The figure is made up of 2 cones and a cylinder. The cones and cylinder have a 4 cm diameter.

What is the exact volume of this figure?

5π cm³

12π cm³

20π cm³

36π cm³

Answer 1

20π cm³

Explanation:

Answer 2

Answer:
`20\pi in^3`

Explanation:

For cylinder

Given: Height = 3 cm

Diameter =4 cm

Therefore, Radius = 2 cm

We know that the volume of cylinder is given by :_

`\text{Volume}=\pi r^2h\\\\\Rightarrow\ \text{Volume}=\pi*(2)^2*3\\\\\Rightarrow\ \text{Volume}=12\pi\ cm^3`

For cone,

Height of cone =3 cm

Radius = 2 cm (same as cylinder)

We know that the volume of cone is given by :_

`\text{Volume}=(1)/(3)\pi r^2h\\\\\Rightarrow\ \text{Volume}=(1)/(3)*\pi*(2)^2*3\\\\\Rightarrow\ \text{Volume}=4\pi\ cm^3`

The volume of figure = Volume of cylinder +Volume of 2 cones

`12\pi+2(4\pi)=12\pi+8\pi=20\pi in^3`