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The diameter of a spherical balloon that is being filled with air is increasing at the rate of 3 inches more than the time, t. What will the volume, V, of the balloon be at t = 3 seconds?

Question

tjhawkes · Answer

@zepdrix

tjhawkes · Answer

Okay I need you to explain, because I'm confused.

mathstudent55 · Answer

The diameter is increasing at a rate 3 more than the time. 
Time is t. Diameter is D.
The rate of increase is D/t, and D/t = t + 3, since that is 3 more than time. 
Now solve the equation for D.
Then plug in t = 3 and find D.
From D find r, the radius, and then calculate the volume.

tjhawkes · Answer

thank you so much, I got confused because I thought the diatmeter increased by 3 with every passing second