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QveST [7]
3 years ago
12

The radius of a right circular cone is increasing at a rate of 1.6 in/s while its height is decreasing at a rate of 2.2 in/s. At

what rate is the volume of the cone changing when the radius is 135 in. and the height is 135 in.
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Answer:

Step-by-step explanation:

let radius=r

height=h

dr/dt=1.6 in/s

dh/dt=-2.2 in/s

volume v=1/3 πr²h

dv/dt=1/3 π[h*2r×dr/dt+r²×dh/dt]

when r=135 in

h=135 in

dv/dt=1/3 π[2×135×135×1.6+135²×(-2.2)]

=1/3 π[135²(3.2-2.2)]

=1/3π135²×1

=6075 π in³/s

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Answer: Option d.

Step-by-step explanation:

To find the domain of the function we should look for the values for which the denominator is equal to zero, because the division by zero is not allowed.

We know by definition that the function e^x is always greater than zero for all <em>x</em>.

We know that the constant <em>c</em> is greater than zero (c>0).

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3 years ago
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Line a is parallel to line b, m 6=85 and m 3=2x. Find m 1.
FromTheMoon [43]
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Round 69581.491337 to the nearest thousand.
Anika [276]

Answer:

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Step-by-step explanation:

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hope this makes sense!

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