Skip to content
Philoid
Browse Saved
Back to chapter
Maths
13. Derivative as a Rate Measurer
Home · Class 12 · Maths · Ref. Book · 13. Derivative as a Rate Measurer
Prev
Next
Q7 of 78 Page 13

Find the rate of change of the volume of a ball with respect to its radius r. How fast is the volume changing with respect to the radius when the radius is 2 cm?

Volume of a Ball = Volume of Sphere =


Where r = radius of the ball.


We need to find , where V = Volume of Ball and r = radius of the ball.



At r = 2 cm,




More from this chapter

All 78 →
5

Find the rate of change of the volume of a cone with respect to the radius of its base.

6

Find the rate of change of the area of a circle with respect to its radius r when r = 5 cm.

8

The total cost C (x) associated with the production of x units of an item is given by C (x) = 0.007 x3 – 0.003x2 + 15x + 4000. Find the marginal cost when 17 units are produced.

9

The total revenue received from the sale of x units of a product is given by R(x) = 13 x2 + 26 x + 15. Find the marginal revenue when x = 7?

Questions · 78
13. Derivative as a Rate Measurer
1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 9 10
Back to chapter
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved