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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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Answer:

15

Step-by-step explanation:

We can find the greatest common factor by listing the factors of the 2 numbers, that is

Factors of 15 are 1, 3, 5, 15

Factors of 45 are 1, 3, 5, 9, 15, 45

The common factors are 1, 3, 5, 15

The greatest common factor is 15

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3 years ago
Paper and Pencil Construction: Construct a Line Perpendicular to a Given Line through a Point on the Line
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Step-by-step explanation:

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5 0
3 years ago
Hey pls help worth 30 points
GrogVix [38]

Step 1: Find the slope:

    m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{10-6}{6-5} = \dfrac{4}{1} = 4

Step 2: Set up your equation y-y_1=m(x-x_1) using one of the points.

    Using (5,6) we have y-6 = 4(x-5).

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5 0
3 years ago
Read 2 more answers
Solve the following using substitution method
Wewaii [24]

Solution :

2a + 2b = 7    ...1)

4a + 3b = 12   ...2)

In equation, 1)

a = (7 - 2b)/2   ...3)

Putting value of a in equation 2) we get :

4 × (7 - 2b)/2  + 3b = 12

2( 7 - 2b ) + 3b = 12

14 - 4b + 3b = 12

b = 2

Putting value of b in 3) we get :

a = ( 7 - 2×2)/2

a = 3/2 = 1.5

Now,

2x - 3y = 16   ...5)

x + 2y = -6    ...6)

x = -6 - 2y

Putting above value of x in eq 5) , we get :

2( -6 - 2y ) - 3y = 16

-12 - 4y - 3y = 16

7y = -28

y = -4

x = -6 - ( 2× -4 )

x = 2

Hence, this is the required solution.

6 0
2 years ago
Help pls ! <br> i’ll mark brainliest to whoever answers it right first.<br> thanks !
Bess [88]
About 90ft

step-by-step explanation: 1/2 (a+b) x h is area of trapezoid. So that would be 40
then area of circle is pi x radius squared. So that is 50.24 roughly.

so 50+40=90

and yeah

hope this helped :))
7 0
3 years ago
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