Fast 100
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Air is being pumped into a spherical balloon at the rate of 100 cm3/sec. How fast is the diameter...?
Air is being pumped into a spherical balloon at the rate of 100 cm3/sec. How fast is the diameter increasing when the radius is 5 cm?
Answer and Explanation
V of sphere = 4/3[pi]r^3
dv/dr = 4[pi]r^2
dv/dt = 100 cm3/sec
----------------------------------------
dv/dt = (dv/dr)*(dr/dt)
100 cm3/sec = 4[pi](5^2)*(dr/dt)
solve for dr/dt
What Is On YouTube Today?
IPL 2009: Fastest 100, Manish Pandey
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