Question

A metal cyllinder is hollow in the middle. The cylinder is 40 mm long. The hollow center has a radius of 15 mm. The radius from the hollow center to the edge of the metal cylinder is 34 mm. What is the total volume of metal that makes up the cylinder? Leave your answer in terms of \large \pi and round to the nearest hundredth if necesarry. V = \large \pi mm3

Answer 1

Answer is in picture and explanation below.

Explanation:

Continuing from the picture,

Area of Metal base = Area of Bigger Circle - Area of Hollow Circle

=

`1156\pi {mm}^(2) - 225\pi {mm}^(2) \\ = 931\pi {mm}^(2)`

Volume of Cylinder = Area of Metal base x Height (Length in this case)

=

`931\pi {mm}^(2) * 40 \\ = 37240\pi {mm}^(3)`