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krek1111 [17]
3 years ago
12

33% of what is 5? Help!

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0
33% of 15 is 5. If 5 = 33%, that means that x/3=5. so multiply both sides by 3 to get x=15.
It is asking what number can you take 33% of and get 5? So you are not dividing 5 by 3, you are multiplying it by 3
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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:

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

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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}

The radius of a sphere is increasing at a rate of 4 mm/s.

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

How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?

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

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

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Step-by-step explanation:

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