An ice cream company manufactures and distributes ice cream cups and cones to grocery stores. The company sells the ice cream cu
ps in packages of 12, 18, and 24 units, and the ice cream cones in packages of 14 and 21 units. Which of the following statements is not true?
A) The 24 pack of cups has more ice cream than the 21 pack of cones.
B) The 12 pack of cups has more than 250 cubic inches of ice cream.
C) The 14 pack of cones has more than 350 cubic inches of ice cream.
D) the 12 pack of cups has enough ice cream to fill in a cylinder container, 8" tall and 6" wide.
A) The 24 pack of cups has more ice cream than the 21 pack of cones.
B) The 12 pack of cups has more than 250 cubic inches of ice cream.
C) The 14 pack of cones has more than 350 cubic inches of ice cream.
D) the 12 pack of cups has enough ice cream to fill in a cylinder container, 8" tall and 6" wide.
2 answers:
<h2>Answer:</h2>
A) The 24 pack of cups has more ice cream than the 21 pack of cones.
<h2>Step-by-step explanation:</h2>We will find the volume of 1 cone and 1 cup.
<h2>Volume of cone :</h2>V =
r = 2 inches
h = 6 inches
V = cubic inches
V =
r = 1.5 inches
h = 3 inches
V = cubic inches
A) The 24 pack of cups has more ice cream than the 21 pack of cones.
Volume of 24 cups = cubic inches
Volume of 21 cones = cubic inches
We can see that 24 cups have less ice cream than 21 cones. So, this statement is wrong.
B) The 12 pack of cups has more than 250 cubic inches of ice cream.
Volume of 12 cups = cubic inches
Yes, this is correct statement.
C) The 14 pack of cones has more than 350 cubic inches of ice cream.
Volume of 14 cones = cubic inches
Yes, this is correct statement.
D) the 12 pack of cups has enough ice cream to fill in a cylinder container, 8" tall and 6" wide.
Volume of cylinder with height 8 inches and radius 3 inches.
V = cubic inches
And volume of 12 cups is = cubic inches
Yes, there is enough ice cream to fill the cylinder. This is correct statement.
<h2>Therefore, option A is the only wrong option.</h2>You might be interested in
Answer:
- width: 18 in
- length: 27 in
Step-by-step explanation:
The relations between length (L) and width (W) are ...
W +9 = L
LW = 486
Substituting gives ...
(W+9)W = 486
W^2 +9W -486 = 0 . . . put in standard form
(W +27)(W -18) = 0 . . . . factor
W = 18 . . . . the positive solution
The width of the rectangle is 18 inches; the length is 27 inches.
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<em>Comment on factoring</em>
There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.
486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.
