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Assoli18 [71]
2 years ago
9

A hollow toy, with the dimensions shown in the figure, is to be stuffed with rigid foam. What is the maximum amount of foam that

can be stuffed into the toy? Round your answer to two decimal places. Assume that both parts are stuffed and the foam does not expand or contract. A. 52. 46 cubic inches B. 67. 02 cubic inches C. 83. 78 cubic inches D. 112. 15 cubic inches.
Mathematics
1 answer:
Fudgin [204]2 years ago
7 0

Option B: 67.02 cubic inches

<h2>Given that:</h2>

The diagram consists of two parts:

  • First a cone on the top with 12 inches height and 4 inches diameter.
  • Second a semi sphere with diameter of 4 inches.

<h2>Calculations:</h2>

The amount of foams that can be stuffed with foam is total volume of both the containers.

Volume of the given cone of 12 inches height and 4 inches diameter can be given as:

\dfrac{1}{3} \times \pi \times 2^2 \times 12\\= 50.265 \: \rm inch ^3

Volume of the semi sphere of 4 inches diameter can be given as:

\dfrac{2}{3} \pi \times 2^3\\= 16.755 \: \rm inch^3

Thus total volume is 50.265 + 16.755 = 67.02 cubic inches.

Thus option B : 67.02 cubic inches is the needed volume.

Learn more here:

brainly.com/question/1315822

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What is the value of x?
cestrela7 [59]
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A local charity is selling seats to a baseball game. Seats cost $24 each, and snacks cost an additional $6
Crazy boy [7]

Answer:

To raise exactly $240, the charity needs to sell 20 snacks.

Step-by-step explanation:

Let

s = number of seats sold

y = number of snacks sold

Seats cost $24 each, then s seats cost $24s.

Snacks cost an additional $6 each, then y snacks cost $6y.

In total, s seats and y snacks cost $(24s+6y).

The charity needs to raise $240 to consider this event a success, so

24s+6y=240

If 5 seats are sold, then

24\cdot 5+6y=240\\ \\120+6y=240\\ \\6y=240-120\\ \\6y=120\\ \\y=20

To raise exactly $240, the charity needs to sell 20 snacks.

To solve this problem graphically, plot the graph of the line 24s+6y=240 and find on this line point with s-coordinate 5. This is exactly point (5,20), so the charity needs to sell 20 snacks.

5 0
3 years ago
Can you please help me with my homework.
Travka [436]

Answer:

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Step-by-step explanation:


5 0
3 years ago
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Coach purchased footballs and basketballs from two different stores.
Serjik [45]

Answer:

  • $6.25

Step-by-step explanation:

Let football cost be f and basketball cost be b

<u>We have two equations as per given:</u>

  • 5f + 14b = 110
  • 10f + 6b = 82.50

We need to find b, therefore we'll eliminate f

<u>To do so we'll double the first equation and subtract the second one:</u>

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  • 28b - 6b = 220 - 82.50
  • 22b = 137.5
  • b = 137.5/22
  • b = 6.25

Each basketball costs $6.25

4 0
3 years ago
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