Question

A cylinder container 18 inches tall and a diameter of 12 inches is completely filled with vanilla, chocolate, and strawberry ice cream in a ratio of 3:2:1. What is the volume of vanilla ice cream in the container? (round to nearest tenth)

A) 339.3 in3
B) 678.6 in3
C) 1017.9 in3
D) 2035.8 in3

Answer 1

if the diameter of the cylinder is 12 inches, then the radius is half that, or 6.

now, the flavors are on a ratio of 3:2:1, that simply means, we can just get the volume of the cylinder in total, and divide it by (3+2+1), and the vanilla flavor gets 3 of that quotient.


`\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ -----\\ h=18\\ r=6 \end{cases}\implies V=\pi (6^2)(18)\implies V=648\pi`


`\bf \stackrel{vanilla}{3}~~:~~\stackrel{chocolate}{2}~~:~~\stackrel{strawberry}{1} \\\\\\ \stackrel{vanilla}{3\cdot (648\pi )/(3+2+1)}~~:~~\stackrel{chocolate}{2\cdot (648\pi )/(3+2+1)}~~:~~\stackrel{strawberry}{1\cdot (648\pi )/(3+2+1)} \\\\\\ \stackrel{vanilla}{324\pi }~~:~~\stackrel{chocolate}{216\pi }~~:~~\stackrel{strawberry}{108\pi }`

Answer 2

it c

Explanation:

it because i took the test