# math

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The radius r of a sphere is increasing at the uniform rate of 0.3 inches per second. At the instant when the surface area S becomes 100pi square inches, what is the rate of increase, in cubic inches per second, in the volume V?

• math -

V = 4/3 pi r^3
dV/dt = 4pi r^2 dr/dt
= A dr/dt
plug in the values given:

dV/dt = 100pi * .3 = 30pi

• math - extra credit -

what is the volume of a cylinder of mozarella cheese, with radius z, and height a?

• math -

V = pir^2h
V = pizza
:)

• math -

22.5

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