A cupcake company designed cylindrical boxes for their new cake pops. How much material is needed to make three boxes if each is 5 inches tall and has a radius of 0.75 inches?

Respuesta :

Answer:

26.52 cubic inches

Step-by-step explanation:

We need to find the volume of each box and then multiply by 3.

The volume of a cylinder is given as:

[tex]V = \pi r^2 h[/tex]

where r = radius

h = height

The height of each box is 5 inches and its radius is 0.75 inches.

Therefore, the volume of each box is:

[tex]V = \pi * 0.75^2 * 5\\\\[/tex]

V = 8.84 cubic inches

The volume of 3 boxes will therefore be:

V = 8.84 * 3 = 26.52 cubic inches

26.52 cubic inches of material is needed to make 3 boxes.