a solid metal cylinder, 8cm in diameter and 8cm long, is to be made into discs 4cm in diameter and 5mm thick. assuming no wastage, how many discs can be made?

Answer 1

First, let's calculate the volume of the solid metal cylinder:
Radius of the cylinder (r) = 8cm / 2 = 4cm

Volume = πr^2h
Volume = π(4cm)^2 * 8cm
Volume = π * 16cm^2 * 8cm
Volume = 128π cm^3

Next, let's calculate the volume of each disc:
Radius of the disc (r) = 4cm / 2 = 2cm
Height of the disc (h) = 5mm = 0.5cm

Volume = πr^2h
Volume = π(2cm)^2 * 0.5cm
Volume = π * 4cm^2 * 0.5cm
Volume = 2π cm^3

Now, we can calculate how many discs can be made from the solid metal cylinder:
Number of discs = Volume of cylinder / Volume of each disc
Number of discs = 128π cm^3 / 2π cm^3
Number of discs = 64

Therefore, 64 discs can be made from the solid metal cylinder.