Answer:
3 full bottles of Dr. Pepper do you need to buy to completely fill the 6 glasses.
Step-by-step explanation:
Given:
Volume of the small bottle = [tex]31.2 cm^3[/tex]
Diameter of the cone = 4 cm
Height of the cone = 3 cm
To Find:
Number of full bottles of Dr. Pepper do you need to buy to completely fill the 6 glasses = ?
Solution:
The volume of cone [tex]= \frac{\pi r^2 h}{3}[/tex]
Where,
r is the radius
h is the height
Radius, r = [tex]\frac{4}{2}[/tex] = 2 cm
Height = 3 cm
On substituting the values
[tex]Volume = \frac{\pi (2)^2 (3)}{3}[/tex]
Volume = [tex](4) \pi[/tex]
Volume = 12.566 cubic centimetres
Volume of 6 cone shaped glasses = 12.56 x 6 = 75.36
Now the number of bottles of Dr . Pepper = [tex]\frac{75.36}{31.2 }cm^3[/tex] = = 2.4153 [tex]cm^3[/tex]
