Approximately 3 bottles are needed to buy to completely fill the 6 glasses you need
Solution:
Given that,
A small bottle of Dr.Pepper holds 31.2 cm^3 of the delicious drink
Therefore,
[tex]Volume\ of\ small\ bottle\ of\ Dr.pepper = 31.2\ cm^3[/tex]
For a New Years Eve party, you need enough juice to fill 6 cone- shaped glasses that have a 4 cm diameter and a 3 cm height
Find the volume of cone
[tex]V = \frac{\pi r^2h}{3}[/tex]
Where, r is the radius and h is the height
Diameter = 4 cm
Radius = 4/2 = 2 cm
Height = 3 cm
Therefore,
[tex]V = \frac{3.14 \times 2^2 \times 3}{3}\\\\V = \frac{3.14 \times 12}{3}\\\\V = \frac{37.68}{3}\\\\V = 12.56[/tex]
Thus, for 6 cone shaped glasses:
Volume of 6 cone shaped galsses = 12.56 x 6 = 75.36 [tex]cm^3[/tex]
How many full bottles of Dr. Pepper do you need to buy to completely fill the 6 glasses you need?
[tex]\text{Number of Dr.pepper bottles } = \frac{\text{Volume of 6 cone shaped galsses}}{\text{Volume of small bottle of dr pepper}}\\\\\text{Number of Dr.pepper bottles } = \frac{75.36}{31.2}\\\\\text{Number of Dr.pepper bottles } = 2.4153[/tex]
Thus approximately 3 bottles are needed to buy to completely fill the 6 glasses you need
