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A balloon, which always remains spherica...

A balloon, which always remains spherical, has a variable diameter `(3)/(2)` (2x+1) . Find the rate of change of its volume with respect to x.

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The correct Answer is:
`(27)/(8) pi (2x+1)^(2)`
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NCERT TAMIL-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 the rate of 8 cm^(3) /s. How fas...

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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 waves move in circles at the ...

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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 infla...

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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/s....

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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 cm^(3) /s. The falling s...

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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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