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A balloon which always remains spherical...

A balloon which always remains spherical on inflation is being inflated by pumping in 900 cubic centimeters of gas per second. Find the rate at which the radius of balloon increases when the radius in 15 cm.

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The correct Answer is:
`(8)/(3)` cm /s
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NCERT TELUGU-APPLICATION OF DERIVATIVES-EXERCISE 6.1
  1. Find the rate of change of the area of a circle with respect to its ra...

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  2. The volume of a cube is increasing at a rate of 8 cubie centimeters pe...

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  3. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

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  4. An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...

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  5. A stone is dropped into a quiet lake and ripples move in circles at th...

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  6. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

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  7. The length x of a rectangle is decreasing at the rate of 5 cm/minute a...

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  8. A balloon which always remains spherical on inflation is being inflate...

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  9. A balloon, which always remains spherical has a variable radius. Find ...

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  10. A ladder 5 m long is leaning against a wall. The bottom of the ladder ...

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  11. A particle moves along the curve 6y = x^(3) +2. Find the points on the...

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  12. The radius of an air bubble is increasing at the rate of 1/2 cm/sec. A...

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  13. A balloon, which always remains spherical, has a variable diameter (3)...

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  14. Sand is pouring from a pipe at the rate of 12 cubic cm./sec. The falli...

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  15. The total cost C(x) in Rupees associated with the production of x unit...

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  16. The total revenue in Rupees received from the sale of x units of a pro...

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  17. The rate of change of the area of a circle with respect to its radius ...

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  18. The total revenue in Rupees received from the sale of x units of a pro...

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