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Elena-2011 [213]
3 years ago
7

A coconut is a fruit that is made up of a hard outer shell that is spherical. Inside, there is a thick layer of coconut meat

Mathematics
1 answer:
Ivenika [448]3 years ago
5 0

Answer:  There is room for

approximately 33.49 in^3 of coconut milk.

Step-by-step explanation:

Hi, we have to calculate the volume of milk inside the coconut:

First, we have to find the diameter of that volume that is equal to the diameter of the entire coconut minus the thickness of the coconut meat:

5-1 = 4 in (diameter)

Now, we simply have to apply the next formula:  

Volume of a sphere: 4/3 π radius^3

Since: radius = diameter /2

V = 4/3 π (d/2)^3

Replacing with the values given:

V = 4/3 (3.14) ( 4/2)^3 = 33.49 in3

Feel free to ask for more if needed or if you did not understand something.

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Two similar pyramids have base areas of 12.2 cm2 and 16 cm2. The surface area of the larger pyramid is 56 cm2. What is the surfa
docker41 [41]

Given =

Two similar pyramid have base area of 12.2 cm² and 16 cm².

surface area of the larger pyramid = 56 cm²

find out the surface area of the smaller pyramid

To proof =

Let us assume that the surface  area of the smaller pyramid be x.

as surface area of the larger pyramid is 56 cm²

Two similar pyramid have base area of 12.2 cm² and 16 cm².

by using ratio and proportion

we have

ratio of the base area of the pyramids : ratio of the surface area  of the pyramids

\frac{12.2}{16} : \frac{x}{56}

x = 12.2 ×56×\frac{1}{16}

by solvingthe above terms

we get

x =42.7cm²

Hence the surface area of the smaller pyramid be 42.7cm²

Hence proved










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SOLVE EACH SYSTEM USING SUBSTITUTION
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1. since the equations equal each other 
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-x        -x
x+19=7
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2. x+2y=-7
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2y=x-7
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sub this into x+y+23=0
x+1/2x-7/2+23=0
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3. </span>x+5y=2
<span>x=-4y+5
</span>sub x=-4y+5 into x+5y=2
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4. 3x+y=9
<span>y=-5x+9
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3x+(-5x+9)=9
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All of the points lie on the graph except for the coordinates (-2,1) and (1,5)

Step-by-step explanation:

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