Question

») Convince Me!If you know the volume of a cone, how can you findthe volume of a cylinder that has the same height andradius as the cone?PEARSO

Answer 1

When a volume of a cone is known and has same height and radius as the cone, we can calculate volume of a cylinder by multiplying the volume of the cone by 3.

Step-by-step explanation:
`\text{volume of a cone = }(1)/(3)\pi r^(^2)h`
`\text{Volume of a cylinder = }\pi r^2h`

From the formular above, there is a relationship between the volume of a cone and volume of a cylinder.

radius is the same for both

height is th same for both

`\begin{gathered} Si\text{ n}ce\text{ volume of a cylinder =}\pi r^2h \\ \text{Volume of a cone = }(1)/(3)(\text{volume of a cylinder)} \\ \text{volume of a cylinder = 3(Volume of a cone)} \end{gathered}`

When a volume of a cone is known and has same height and radius as a cylinder, we can calculate volume of a cylinder by multiplying the volume of the cone by 3.

Likewise, to get volume of a cone when volume of a cylinder is given, we would divide volume of a cylinder by 3