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sergiy2304 [10]
3 years ago
15

The radius r of a sphere is 12 units. Find the volume of the sphere. Write your answer in terms of pie

Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

https://socratic.org/questions/what-is-the-volume-of-a-sphere-with-a-radius-of-12-units

the answer is on here

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A road perpendicular to a highway leads to a farmhouse located d miles away. An automobile traveling on this highway passes thro
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Answer:

\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}

Step-by-step explanation:

A road is perpendicular to a highway leading to a farmhouse d miles away.

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Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.

Then by Pythagoras theorem,

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(h)\frac{dh}{dt}=(x)\frac{dx}{dt}

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When automobile is 30 miles past the intersection,

For x = 30

\frac{dh}{dt}=\frac{30r}{h}

Since h=\sqrt{d^{2}+(30)^{2}}

Therefore,

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