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?

Answer 1

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.