A round balloon is being blown up with helium so that t seconds after starting, the radius is 2t cm. Remember that for a sphere with a radius r, V=(4/3)(pi)r^3 and SA= 4(pi)r^2. What is the equation for V'(r)?

Question

V=(4/3)(pi)r^3

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Answer 1 · 2018-05-11T08:52:01

Explanation below

Just to be clear, you used the prime notation, #V'(r)# (which is also written as #(dV)/(dr)#).

So here: #V'(r) = (4/3 pi r^3)^' = 4 pi r^2 #