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Valentin [98]
2 years ago
14

A model of a volcano has a height of 12 in., and a diameter of 12 in. What is the volume of the model? Use 3.14 to approximate p

i, and express your final answer as a decimal. Enter your answer in the box.
Mathematics
1 answer:
Aleksandr [31]2 years ago
4 0
I think what you need to do here is do the volume of a cone. Which is 1/3 pir^2h. The first step is to find the radius. In order to do that is to divide the diameter by 2. You do this because the radius is two times smaller than the diameter. Then you want to multiply the radius (which is 6 inches) by the height (12 inches). By this time you should have the number 72 (12x6). The next step is to multiply 72 by pi, or 3.14. Which is 226.08.  I hope that you realized that all is left in the formula is the fraction 1/3. What you do here is divide the sum, or what you have multiplied. So, 226.08 divided by 3 is 75. 36. The model should be 75.36 inches.  
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This means that 45 10s is equal to:
45*10 = 450

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3 years ago
What is the midpoint of a segment whose endpoints are (-5,6) and (-7,2)?
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5 0
3 years ago
Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2
8090 [49]

Answer:

tanΘ = - \frac{12}{5}

Step-by-step explanation:

Using the trigonometric identities

• sin²x + cos²x = 1, hence

cosx = ± √(1 - sin²x )

• tanx = \frac{sinx}{cosx}

given sinΘ = \frac{12}{13}, then

cosΘ = ±  \sqrt{1-(12/13)^2}

Since Θ is in the second quadrant where cosΘ < 0, then

cosΘ = - \sqrt{1-\frac{144}{169} }

         = - \sqrt{\frac{25}{169} } = - \frac{5}{13}

tanΘ = \frac{\frac{12}{13} }{\frac{-5}{13} }

        = \frac{12}{13} × - \frac{13}{5} = - \frac{12}{5}



5 0
3 years ago
if the area of a triangular base prism is 11 cm² and the height of the prism is 12 cm, what is the volume of the prism?
Natasha2012 [34]

Answer:

132 cm²

Step-by-step explanation:

Your welcome

7 0
2 years ago
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