Question

A cylindrical piece of steel, which is 30mm long and has a raduis of 6mm, has a square hole right through it in its length. The hole is in the centre of the rod. The sides of the square are each 5mm. Calculate the volume of metal that this this small object contains

Answer 1

Answer:

Volume of the metal is 2641.2 mm³

Step-by-step explanation:

Height of the cylinder h = 30 mm

Radius of the cylinder r = 6 mm

Total volume of the solid cylinder

$=\pi r^2h$

$=3.14\times 6^2\times 30$

$=3.14\times 6^2\times 30$

$=3391.2$ mm³

Side of the square hole a = 5 mm

Length of the square hole L = Height of the cylinder = 30 mm

Volume of the square hole

$=a^2L$

$=5^2\times 30$

$=750$ mm³

Volume of the metal

=Volume of the cylinder - Volume of the square hole

$=3391.2-750$

$=2641.2$ mm³

Hope this answer is helpful.