The surface area of a sphere of radius r is S = 4r 2 . Its volume
Question:
The surface area of a sphere of radius r is S = 4πr2. Its volume is
V = 4πr3/3.
a. Use MuPAD to find the expression for dS/dV.
b. A spherical balloon expands as air is pumped into it. What is the rate of increase in the balloon’s surface area with volume when its volume is 30 in.3?
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The equations given are S 4r 2 V 43 r 3 We need to find the value dS...View the full answer
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