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Aim: How do we handle more complicated related rate problems?

Aim: How do we handle more complicated related rate problems?. Do Now: Write the formulas of 1. cylinder 2. cone 3. sphere. Cylinder: V =. Cone: V =. Sphere:. Air is expanding a soap bubble so that its volume

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Aim: How do we handle more complicated related rate problems?

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  1. Aim: How do we handle more complicated related rate problems? Do Now: Write the formulas of 1. cylinder 2. cone 3. sphere Cylinder: V = Cone: V = Sphere:

  2. Air is expanding a soap bubble so that its volume is increasing at the rate of 10 /sec How fast is when it is 10 cm? /sec

  3. Air is being pumped into a spherical balloon at 10/min. calculate the rate at which the radius of the balloon is increasing when the diameter is 15 cm. Finding

  4. How fast is the water level dropping, when the radius is 30 cm, in a cylindrical tank when it is being drained at the rate of 3000 /sec r = 30 Radius remains the same therefore, radius can be a constant cm/sec

  5. A water tank in the shape of a right circular cone has a base radius of 3 m and height of 6 m. If water is being pumped into the tank at the rate of 4/min, find that rate at which the water level is rising when the water is 4 m deep r = 3 r = 3 r 6 6 h r , h

  6. A 10 cm tall funnel is being drained with water at a constant rate of 10 cc per second. The mouth of the funnel is 12 cm in diameter. How fast is the solution level dropping when there are 200 cc left in the funnel? 6 6 r 10 Find h when there are 200cc in the funnel h 10 r h h

  7. =

  8. Water is going in a trough at a rate of 10 /min. How fast is the water level rising when the water is 2 meters deep? 1 r 4 h 6 16 16 4 r r 4 4 h h h 6 4 4 )

  9. ) m/min

  10. A swimming is pool 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep at the deep end. Water is being pumped into the pool at cubic meter per minute, and there is 1 meter of water at the deep end. At what rate is the water level rising? 6 12 b = 6h 1 12 3 b h

  11. m/min

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