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Marina CMI [18]
3 years ago
14

Help asap i need help ill give brainlist!!

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

(-11.2)+10.1 = -1.1


(-11.2) +10.1 and 11.2+ (-10.1) are related because the negative signs are switch so both equations have the same answer.


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The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.4 in/s. At
pychu [463]

Answer:

The volume is increasing at a rate of 27093 cubic inches per second.

Step-by-step explanation:

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THe volume of a cone, with radius r and height h, is given by:

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

In this question:

We have to differentiate implictly is function of t, so the three variables, V, r and h, are differenciated. So

\frac{dV}{dt} = \frac{\pi r^2}{3}\frac{dh}{dt} + \frac{2\pi rh}{3}\frac{dr}{dt}

The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.4 in/s.

This means that \frac{dr}{dt} = 1.4, \frac{dh}{dt} = -2.4

Radius is 140 in. and the height is 186 in.

This means that r = 140, h = 186

At what rate is the volume of the cone changing?

\frac{dV}{dt} = \frac{\pi r^2}{3}\frac{dh}{dt} + \frac{2\pi rh}{3}\frac{dr}{dt}

\frac{dV}{dt} = \frac{\pi (140)^2}{3}(-2.4) + \frac{2\pi 140*186}{3}1.4

\frac{dV}{dt} = -0.8\pi(140)^2 + 62*2\pi*1.4*140

\frac{dV}{dt} = 27093

Positive, so increasing.

The volume is increasing at a rate of 27093 cubic inches per second.

4 0
3 years ago
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