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Yuki888 [10]
2 years ago
12

Help me find the volume of the composite figure

Mathematics
1 answer:
Butoxors [25]2 years ago
8 0

Answer:

V = 97.911in^3

Step-by-step explanation:

Given

Shapes: Cube and Cone

Required

Determine the volume

First we calculate the volume of the cube

V_1 = l^3

Where

l = side length = 5.1

V_1 = 5.1^3

V_1 = 132.651

Next, calculate the volume of the cone using:

V_2 = \frac{\pi r^2h}{3}

Where

h = 5.1

r = \frac{1}{2} * Diameter

r = \frac{1}{2} * 5.1

r = 2.55

So, we have:

V_2 = \frac{\pi r^2h}{3}

V_2 = \frac{\pi * 2.55^2 * 5.1}{3}

V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}

V_2 = \frac{729.5805}{21}

V_2 = 34.74

The volume of the figure is:

V=V_1 - V_2

V_1 = 132.651

V = 132.651 - 34.74

V = 97.911in^3

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Answer:

5. The answer is 2

6. Her error is that she was supposed to subtract 16 minus 12 instead of 12 minus 2.

Step-by-step explanation:

For number 5 all I did was solve.

12 + (25 - 5^2) - 2 =

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So, for number 5 the answer is 2.

For number 6, you should know that when there are only plus and minus signs you solve from left to right.

She instead put parentheses where there shouldn't of been, and because of that she is wrong.

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The math club makes 35 bars of laundry soap a week and sells these at $20 each before the soap could be sold , the pupils found
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Answer:

Step-by-step explanation:

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2 years ago
Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X
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Circle A is missing, so i have attached it.

Answer:

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Step-by-step explanation:

We want to find the angle ∠XYZ in the image attached.

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From the image, arc WZ = 175° and arc XZ = 105°

Thus;

∠XYZ = ½(175 - 105)

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Answer:

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