A Solid metal of cylinder 8cm in diameter and 8cm long is to be made into disc 4cm in diameter and 5mm thick.Assuming no wastage ,how many disc can be made?

1 answer

First, let's calculate the volume of the cylinder:

Vcylinder = πr^2h
Vcylinder = π(4)^2(8)
Vcylinder = 128π cm^3

Now, let's calculate the volume of the disc:

Vdisc = πr^2h
Vdisc = π(2)^2(0.5)
Vdisc = 2π cm^3

Now, let's divide the volume of the cylinder by the volume of the disc to find out how many discs can be made:

Number of discs = Vcylinder / Vdisc
Number of discs = 128π / 2π
Number of discs = 64

Therefore, 64 discs of 4cm in diameter and 5mm thick can be made from a solid metal cylinder of 8cm in diameter and 8cm long.