Question

At the store, Jason find the volume of a soda pack is 423.9 in.³. If each cylinder shaped can has a height of 6 inches and a diameter of 3 inches, how many soda cans are in a pack? (Use 3.14 for pi)

Answer 1

Answer : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = $\frac{Diameter}{2}=\frac{3in}{2}=1.5in$

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = $\frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}$

Number of soda cans are in a pack = $\frac{423.9in^3}{42.39in^3}$

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.