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This is urgent, my test is due in an hour, please help me solve this math problem?
Air is being pumped into a spherical balloon at a rate of 10 cm3/min. Determine the rate at which the radius of the balloon is increasing when the diameter of the balloon is 25 cm.
1 Answer
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- 2 weeks ago
diameter = 25 means radius = 12.5
volume at that radius = 4/3 pi*r^3 = 8181.2308
dV/dt = 10
V = 4/3 pi r^3
dV/dt = 4 pi r^2 dr/dt
plug in 10 for dV/dt and 12.5 for r
10 = 4 pi (12.5)^2 dr/dt
dr/dt = 0.00509 cm/s
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