Question

I’m so confused! How am I meant to figure this out.

Answer 1

The volume of a cone is calculated using the formula below

`V_(cone)=(1)/(3)\pi r^2h`

The height is multiplied by 4, we will have the new height be

`\begin{gathered} h=4* h \\ h=4h \end{gathered}`

The radius id multiplied by 4, we will have the new radius be

`\begin{gathered} r=4* r \\ r=4r \end{gathered}`

By substituting the new values of the height and radius in the equation od the volume of a cone, we will have

`\begin{gathered} V_(cone)=(1)/(3)*\pi r^2h \\ V_2=(1)/(3)*\pi*(4r)^2*(4h) \\ V_1=(1)/(3)*64\pi r^2h \\ V_1=(64)/(3)\pi r^2h \end{gathered}`

By dividing the new volume by the initial volume, we will have

`\begin{gathered} =((64)/(3)\pi r^2h)/((1)/(3)\pi r^2h) \\ =64 \end{gathered}`

Hence,

The final answer is

The volume of the cone is multiplied by 64