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 strawberry ice cream in the container? (round to nearest tenth)
Accepted Solution
A:
Answer:339.3inches^3Step-by-step explanation:Volume of cylinder V = πr²hThe diameter is constant, so the radius is half of the diameter = 12/2 = 6 inchesIt can be seen that the height has been divided into three in the ratio 3:2:1The height of the strawberry section is 1/6 × 18 = 3 inches.Now, we calculate the volume of the strawberry section as follows:π = 3.142r = 6 inchesh = 3 inches V = 3.142 × (6)^2 × 3 = 339.336 inches^3This converted to the nearest tenth is 339.3 inches^3