The largest possible cylinder is carved out from a cube of sides 4 cm each. what is the volume of the cylinder?

The cube has a side 4 cm long. This would mean the top of the cylinder ( circle) would have a diameter of 4 cm. and the height would also be 4 cm.

Volume of a cylinder is: Volume = πr^2h

r = radius = 4/2 = 2

h = height = 4

In terms of PI:

Volume = 2^2 x 4 x π

Volume = 16π cubic cm.

Using 3.14 for PI:

Volume = 3.14 x 2^2 x 4

Volume = 50.24 cubic cm.

Step-by-step explanation:

We have been given that the the largest possible cylinder is carved out from a cube of sides 4 cm each.

Since the cylinder is carved out from a cube of sides 4 cm each, so diameter and height of cylinder would be 4 cm each.

Therefore, the volume of the cylinder is approximately 50.27 cubic cm.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

mean, 40.6

step-by-step explanation: