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](https://tex.z-dn.net/?f=%5Cfrac%7BDiameter%7D%7B2%7D%3D%5Cfrac%7B3in%7D%7B2%7D%3D1.5in)
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}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BVolume%20of%20soda%20pack%7D%7D%7B%5Ctext%7BVolume%20of%20cylinder%20shaped%20can%7D%7D)
Number of soda cans are in a pack = ![\frac{423.9in^3}{42.39in^3}](https://tex.z-dn.net/?f=%5Cfrac%7B423.9in%5E3%7D%7B42.39in%5E3%7D)
Number of soda cans are in a pack = 10
Therefore, the number of soda cans in a pack are 10.