Ask question

Ask question

All categories

3 years ago

14

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.

2 answers:

irina1246 [14]3 years ago

5 0

<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 = $\pi r^{2}\frac{h}{3}$

r = 2 inches

h = 6 inches

V = $3.14\times2\times2\times\frac{6}{3} =25.12$ cubic inches

<h2>Volume of cup :</h2>

V = $\pi r^{2} h$

r = 1.5 inches

h = 3 inches

V = $3.14\times1.5\times1.5\times3=21.195$ cubic inches

<h2>Now we will check the given statements:</h2><h2 />

A) The 24 pack of cups has more ice cream than the 21 pack of cones.

Volume of 24 cups = $24\times21.195=508.68$ cubic inches

Volume of 21 cones = $21\times25.12=527.52$ 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 = $12\times21.195=254.348$ 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 = $14\times25.12=351.68$ 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 = $3.14\times3\times3\times8=226.08$ cubic inches

And volume of 12 cups is = $12\times21.195=254.348$ 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>

avanturin [10]3 years ago

3 0

Answer: A: The 24 pack of cups has more ice cream than the 21 pack of cones.

You might be interested in

henry had charged 847 dollars to his credit card. the cost of his next purchase caused him to exceed his credit limit of 1000

Pachacha [2.7K]

Answer:

The purchase is greater than $153

Step-by-step explanation:

7 0

1 year ago

Anyone Great at math? Here you go!

Arisa [49]

the blue dotted line means the parent function was shifted 2 units down

so the graph is g(x) = (1/3)^x-2

Answer would be A.

6 0

2 years ago

Write using exponents. Work from left to right on the grid.<br><br> 6 • 6 • 6

makkiz [27]

The answer is 6^3

6*6*6= 216

6^3= 216

4 0

2 years ago

Please answer, Thank you. Image below.

Bezzdna [24]

Answer:

88°

Step-by-step explanation:

The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:

46° + 46° + e = 180°

Solving this gets e = 88°.

8 0

2 years ago

Galina-37 [17]

Answer:

a

Step-by-step explanation:

-2 over 3 is it cuz -4 over 6 simplifies to that and all the others do too

8 0

2 years ago