Julian is putting CDs into a cylindrical
box. The box has a volume of
904.32 cubic centimeters and both
the CDs and the box have a diameter
of 12 centimeters. If each CD has a
width of 0.2 centimeters, how many
CDs can Julian stack into the box? Use
3.14 for T.

Respuesta :

Answer:

40

Step-by-step explanation:

The volume of the cylindrical box is given as 904.32 cm³, the diameter as 12cm

The volume of a cylinder is given by the formula
V = π · r² · h where r is the radius and h is the height

The radius of the given box is 12/2 = 6 cm and we use π = 3.14


Plugging in known values we get
3.14 · 6² · h = 904.32

113.04 h =  904.32

h = 904.32 / 113.04   =  8 cm

Each CD is 0.2 cm thick so we can fit a total of
8 / 0.2 = 40 CDs