At the store,Jason finds the total volume of soda in a pack is 113.04 cubic inches. If each cylinder-shaped can has a height of 6 inches and a diameter of 2 inches,how many soda cans are in a pack? (Use 3.14 for pie)

Respuesta :

Answer:

The number of soda can that are in the pack is 6 .

Step-by-step explanation:

Given as :

The volume of soda pack = 113.04 inches³

The height of cylinder shaped can = H = 6 inches

The diameter of cylinder shaped can = 2 inches

So, the radius R = [tex]\frac{Diameter}{2}[/tex] =  [tex]\fr{2}{2}[/tex]

Or, R = 1 inches

Now, The volume of cylinder = [tex]\pi[/tex] × R² × H

Or , The volume of cylinder = 3.14 × 1² × 6

Or , The volume of cylinder = 3.14 × 6 = 18.84 inches³

So, The number of soda cans packed = [tex]\dfrac{\textrm volume of soda pack}{\textrm volume of cylinder}[/tex]

or,  The number of soda cans packed = [tex]\frac{113.04}{18.84}[/tex]

∴ The number of soda cans packed = 6

Hence The number of soda can that are in the pack is 6 .  Answer