Question

18. Without doing any calculations, do you think Cylinder 1 and Cylinder 2 will have the same volume? Explain your reasoning. Cylinder 1 4 cm om Cylinder 2 on Fill in each box to complete the following statements. 4 cm To the nearest tenth, the volume of Cylinder 1 is To the nearest tenth, the volume of Cylinder 2 is

Answer 1

Without doing any calculations, do you think Cylinder 1 and Cylinder 2 will have the same volume?

No, because the radius are different. In the first cylinder the radius is 4cm and 7cm in the second one.

The volume V of a cylinder is given by

`V=\pi r^2h`

where Pi is 3.1416, r is the radius and h is the height.

Then, the volume of cylinder 1 is

`V_1=(3.1416)(4^2)(7)cm^3`

which gives

`V_1=351.9cm^3`

Now, the volume of cylinder 2 is

`V_2=(3.1416)(7^2)(4)`

which gives

`V_1=615.8cm^3`

Therefore, the answer are

`\begin{gathered} \text{cylinder 1, }V_1=351.9cm^3 \\ \text{cylinder 2, }V_2=615.8cm^3 \end{gathered}`