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dem82 [27]
4 years ago
7

− 5 6 ​ − 3 2 ​ v+ 15 4 ​ + 3 1 ​ v

Mathematics
1 answer:
Oxana [17]4 years ago
7 0
Answer: 98 - v

Step by step explanation:

-56 + 154 - 32v + 31v

= 98 - v
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Radius of cone is decreasing at the rate of \frac{1623}{110\pi} inches

What is rate of change?

Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.

Here rate of change of radius of cone has been calculated

Radius of cone  = 18 inches

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Volume of cone (V) = \frac{1}{3} \pi r^2h

\frac{dV}{dt} = \frac{1}{3} \pi h (2r\frac{dr}{dt})\\-541 = \frac{2}{3} \pi \times 11\times 5\times\frac{dr}{dt}\\\frac{dr}{dt} = -\frac{541 \times 3}{2 \times \pi \times 11 \times 5}\\\frac{dr}{dt} = -\frac{1623}{110  \pi}

Radius of cone is decreasing at the rate of \frac{1623}{110\pi} inches

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brainly.com/question/24313700

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Step-by-step explanation:

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