A gym fitness ball is being inflated and its volume is increasing at a constant rate of 5 cm^3 per second.?
A gym fitness ball is being inflated and its volume is increasing at a constant rate of 5 cm^3 per second. At what rate is the radius of the ball changing when the radius is 34 cm?
i keep getting 5/13872pi
but the answer is 5/4624pi ,, seeming close, but i can’t seem to know what I’m doing wrong
You should show your work if you want to know what you are doing wrong !
The problem is:
V = (4/3) π r^3
dV/dt = 4 π r^2 (dr/dt)
You know dV/dt = 5 cm^3/sec
You know r = 34 cm
solve for (dr/dt)
easy !
QED
dr/dt = 5/4624π cm
Ten Minute Workout with Fitness Ball
|
|
Ecowise Fitness Non-Bouncing Physical Therapy (P.T.) Ball – (2lbs – 30lbs) – NEW $699.99 |
|
|
Lower Control Arm Ball Joint Tie Rod Sway Bar MONTEREY $449.11 |
|
|
Lower Control Arm Ball Joint Tie Rod Sway Bar FREESTAR $448.11 |
|
|
Fitness Ball Kit $350.00 |
|
|
Upper Lower BALL JOINTS Inner Outer Tie Rod Idler Arm KIT G1500 Xpress G2500 $350.00 |
|
|
5 POWER ROPE MEDICINE FITNESS BALLS SET & RACK & VCD $338.00 |
|
|
Lower Control Arm Ball Joint Tie Rod End Sway Bar link Malibu Alero Grand Am $319.91 |
|
|
Ball Feeder For FIRST PITCH Pitching Machines-Both baseballs & softball fit! $315.00 |
|
|
Callaway RAZR Fit Driver 9.5 Stiff Aldila RIP’D NV 6 FREE BALLS RH NEW 2982 $309.49 |
|
|
Callaway RAZR Fit Driver 10.5 Regular Aldila RIP’D NV 6 FREE BALLS RH NEW 2984 $309.49 |
|
|
Bulk Of Rhinestone Pave Disco Ball Spacer Bead Finding Fit Bracelet 1.5MM Hole $306.00 |
|
|
Lots 10MM Rhinestone Crystal Clay Disco Ball Bead Find MixColor Fit Bracelet $305.00 |
|
|
NEW Callaway RAZR FIT 11.5° Driver RIP’d NV LIGHT w/ Hex Black Tour Golf Balls $303.03 |
|
|
NEW Callaway RAZR FIT 10.5° Driver RIP’d NV LIGHT w/ Hex Black Tour Golf Balls $303.03 |
|
|
NEW Callaway RAZR FIT 11.5° Driver RIP’d NV REGULAR w/ Hex Black Tour Golf Balls $303.03 |
