As you are exercising on a giant 18 inch radius bouncy ball, a small pin sized o

Question

As you are exercising on a giant 18 inch radius bouncy ball, a small pin sized object punctures the ball causing a slow leak. You calculate that the radius is decreasing at 0.0014 inches per second. The equation is V= 4/3?(18-.0014t)^3 (time is t) ( v = 4/3?r^3 is the volume of a sphere with radius r) WHAT IS THE VOLUME OFF THE BALL AFTER 5 MINUTES? WATCH OUT: HOW MANY SECONDS ARE IN A MINUTE WHEN THE VOLUME OF THE BALL FALLS UNDER 15,000 CUBIC INCHES IT IS NO LONGER FUNCTIONAL FOR EXERCISING. AFTER HOW LONG WILL THIS BALL NO LONGER BE USABLE? AND HOW LONG WILL THE VOLUME OF THE BALL BE ZERO

Explanation / Answer

) Okay, so simply substitute in the time for t. But first, you must change 5 minutes into seconds. Multiply 60 * 5 (because 60 seconds are in a minute), which is 300 seconds. Substitute this value in for t: V = 4/3?(18 - 0.0014{300})

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