12th grade Related rates worksheet

Related rates

Grade 12 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Ari finds how fast the water level rises in the cone shown when the water is 4 m deep. What is dh/dt, in m/min, to the nearest hundredth?
2. 2.

   Bo finds how fast the water level rises in the cone shown when the water is 2 m deep. What is dh/dt, in m/min, to the nearest hundredth?
3. 3.

   Esme finds how fast the water level rises in the cone shown when the water is 3 m deep. What is dh/dt, in m/min, to the nearest hundredth?
4. 4.

   Boat A is 3 km east of a dock, sailing east at 30 km/h; boat B is 4 km north, sailing north at 40 km/h. Kira finds how fast they separate, in km/h.
5. 5.

   Boat A is 6 km east of a dock, sailing east at 12 km/h; boat B is 8 km north, sailing north at 5 km/h. Luz finds how fast they separate, in km/h.
6. 6.

   Boat A is 8 km east of a dock, sailing east at 3 km/h; boat B is 6 km north, sailing north at 4 km/h. Noah finds how fast they separate, in km/h.
7. 7.

   A round balloon fills at 100 cm³/s. With V = (4/3)πr³, Pia finds how fast r grows when r = 5 cm. What is dr/dt, in cm/s, to the nearest hundredth?
8. 8.

   A round balloon fills at 50 cm³/s. With V = (4/3)πr³, Ren finds how fast r grows when r = 2 cm. What is dr/dt, in cm/s, to the nearest hundredth?
9. 9.

   A round balloon fills at 72 cm³/s. With V = (4/3)πr³, Tala finds how fast r grows when r = 3 cm. What is dr/dt, in cm/s, to the nearest hundredth?
10. 10.

    A round balloon fills at 200 cm³/s. With V = (4/3)πr³, Zee finds how fast r grows when r = 10 cm. What is dr/dt, in cm/s, to the nearest hundredth?