Question

Corbin begins calculating the volume of a cylinder, in cubic meters, using the following steps. V = Bh V = (113.04) x 20 Which model could represent Corbin's cylinder? 120 m 113.04 m 20 m 36 m A 20 m 6 m 20 m *50.52 m

Answer 1

Given the following expression:

`\begin{gathered} V=Bh \\ \Rightarrow V=(113.04)\cdot(20) \end{gathered}`

Notice that the value of the area of the base is the following:

`B=\pi\cdot r^2=113.04`

with pi = 3.14, we can solve for r to find the radius of the cylinder:

`\begin{gathered} 3.14r^2=113.04 \\ \Rightarrow r^2=(113.04)/(3.14)=36 \\ \Rightarrow r=\sqrt[]{36}=6 \\ r=6 \end{gathered}`

therefore, the cylinder has radius 6 and height 20 (the correct model is C)