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wolverine [178]
3 years ago
9

The diagram shows the dimensions of a teepee. Find the volume of the building to the nearest cubic unit. Use 3.14 for pi.

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0
The volume of a cone uses the following formula:

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

Our diameter is 20 feet, so divide this by 2 to find the radius:

20 \div 2 = 10

We now have all of our values need to fill in the formula. Plug in these values:

\pi = 3.14, r = 10, h = 17

3.14 * 10^{2} *  \frac{17}{3}

3.14 * 100 * 5.67

314 * 5.67 = 1780.38

The volume of the cone is 1780 cubic feet.
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Watch help
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Answer:

m∠RPQ = 8°

Step-by-step explanation:

m∠QRS = 4x - 15

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m∠QRS is exterior angle and m∠RPQ and m∠PQr are opposite interior angles to m∠QRS

m∠QRS = m∠RPQ + m∠PQR      {Exterior angle property of triangle}

4x - 15 = x +1 + x - 2

4x - 15 = x + x + 1-2          {Combine like terms}

4x - 15 = 2x - 1        {Subtract 2x from both sides}

4x - 2x - 15 = - 1

2x - 15 = - 1                  {Add 15 to both sides}

2x = -1 + 15

2x = 14          {Divide both sides by 2}

x = 14/2

x = 7

m∠RPQ = x + 1 = 7 + 1 = 8°

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