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tekilochka [14]
3 years ago
6

The volume of a cone with a radius of 7 cm is 147x cubic centimeters. Which expression can be used to find h, the height of the

Mathematics
1 answer:
Anton [14]3 years ago
7 0

Answer:

The answer is in decimal

Step-by-step explanation:

#Hope it helps uh......

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Bottom right one is the range
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3 years ago
What’s the answer ????
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The x on the bottom will cancel out the x on the top here. 
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Among all right circular cones with a slant height of 24​, what are the dimensions​ (radius and​ height) that maximize the volum
aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2

Once this is defined, we proceed to define the volume of a cone,

v=\frac{1}{3}\pi r^2 h

Substituting,

v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)

\frac{dv}{dh} = 0 then \rightarrow \frac{1}{3}\pi(576-3h^2)=0

h_1=-8\sqrt{3}\\h_2=8\sqrt{3}

<em>We select the positiv value.</em>

We have then,

r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}

We can now calculate the maximum volume,

V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99

4 0
3 years ago
What is the common number of 5,4,100,1
cestrela7 [59]

Answer:

1

Step-by-step explanation:

These number can be de composed in primer factors as it is shown:

100=5*5*2*2*1

5=5*1

4=2*2*1

1=1

Where we can see that the only common number is 1

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3 years ago
What is 1.1 in fraction form?
bonufazy [111]
11/10 is the fraction form of 1.1
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