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. How much more chocolate ice cream is there than strawberry ice cream in the container? (round to nearest tenth)

a.) 339.3 in^3

b.) 678.6 in^3

c.) 1017.9 in^3

d.) 2035.8 in^3

Answer 1

339.3 in3 of strawberry ice cream.

V = πr2 h
V = π(62)(18)
V = 2035.75

Strawberry is 1
6
of the total volume.

then,

2035.75 x 1
6
= 339.29

Answer 2

Option a is correct

339.12 in^3 more chocolate ice cream is there than strawberry ice cream in the container

Explanation:

Volume of the cylinder is given by:

`V = \pi r^2h`

where

r is the radius of the circle

h is the height of the cylinder respectively.

As per the statement:

A cylinder container 18 inches tall and a diameter of 12 inches

⇒h = 18 inches and diameter(d) = 12 inches

We know that:

Diameter(d) = 2(radius)

⇒
`12 = 2r`

Divide both sides by 2 we get;

⇒
`6 = r`

or

r = 6 inches.

Substitute the given values in [1] we have;

`V = 3.14 \cdot 6^2 \cdot 18`

⇒
`V= = 3.14 \cdot 648 = 2,034.72 in^3`

It is also given that:

A cylinder is completely filled with vanilla, chocolate, and strawberry ice cream in a ratio of 3:2:1.

Let x be the number:

Volume of Vanilla cream= 3x

Volume of chocolate cream= 2x

Volume of strawberry cream= x

then;

`3x+2x+x = 2034.72`

Combine like terms;

`6x = 2034.72`

Divide both sides by 6 we have;

`x = 339.12`

Volume of more chocolate ice cream is there than strawberry ice cream = 2x-x = x = 339.12 in^3

⇒therefore, 339.12 in^3 more chocolate ice cream is there than strawberry ice cream in the container