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pychu [463]
3 years ago
8

Can someone please help with this question?

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0

Answer:

27 is the answer of your q3

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The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm^3/s) when the diameter is 60
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Answer:

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere is given by the following equation:

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In which r is the radius.

Implicit derivatives:

This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So

\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}

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This means that \frac{dr}{dt} = 4

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This is \frac{dV}{dt} when r = \frac{d}{2} = \frac{60}{2} = 30. So

\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}

\frac{dV}{dt} = 4\pi*(30)^2*4

\frac{dV}{dt} = 1508

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

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The sum of 4 consecutive integers is 90​
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Answer:

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Step-by-step explanation:

hope it helps :)

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Step-by-step explanation:

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