Answer:
Option a is correct
339.12 in^3 more chocolate ice cream is there than strawberry ice cream in the container
Step-by-step explanation:
Volume of the cylinder is given by:
[tex]V = \pi r^2h[/tex]
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)
⇒[tex]12 = 2r[/tex]
Divide both sides by 2 we get;
⇒[tex]6 = r[/tex]
or
r = 6 inches.
Substitute the given values in [1] we have;
[tex]V = 3.14 \cdot 6^2 \cdot 18[/tex]
⇒[tex]V= = 3.14 \cdot 648 = 2,034.72 in^3[/tex]
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;
[tex]3x+2x+x = 2034.72[/tex]
Combine like terms;
[tex]6x = 2034.72[/tex]
Divide both sides by 6 we have;
[tex]x = 339.12[/tex]
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
