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List of top Mathematics Questions on Rate of Change of Quantities asked in CBSE Class XII

At a birthday party, children are being served orange juice in conical cups, as shown in the figure. 


Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
On the basis of the above information, answer the following questions :

  • CBSE Class XII - 2026
  • CBSE Class XII
  • Mathematics
  • Rate of Change of Quantities
If the distance travelled by a particle in \(t\) seconds is given by \(S = 72t + 3t^2 - t^3\), then the time taken by the particle to come to rest is:
  • CBSE Class XII - 2026
  • CBSE Class XII
  • Mathematics
  • Rate of Change of Quantities
The rate of change of volume of a sphere with respect to its diameter, when its radius is 5 cm, is :
  • CBSE Class XII - 2026
  • CBSE Class XII
  • Mathematics
  • Rate of Change of Quantities
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