The volume of a cube is increasing at th...

The volume of a cube is increasing at the rate of `8 cm^(3)` /s. How fast is the surface area increasing when the length of an edge is 12 cm?

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The correct Answer is:

`8 pi cm^(2)//cm`

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NCERT BANGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.1

Find the rate of change of the area of a circle with respect to its ra...
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The volume of a cube is increasing at the rate of 8 cm^(3) /s. How fas...
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The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...
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An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...
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A stone is dropped into a quiet lake and waves move in circles at the ...
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The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...
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The length x of a rectangle is decreasing at the rate of 5 cm/minute a...
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A balloon, which always remains spherical on inflation, is being infla...
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A balloon, which always remains spherical has a variable radius. Find ...
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A ladder 5 cm long is leaning against a wall. The bottom of the ladder...
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A particle moves along the curve 6y = x^(3) +2. Find the points on the...
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The radius of an air bubble is increasing at the rate of (1)/(2) cm/s....
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A balloon, which always remains spherical, has a variable diameter (3)...
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Sand is pouring from a pipe at the rate of 12 cm^(3) /s. The falling s...
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The total revenue in Rupees received from the sale of x units of a pro...
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The rate of change of the area of a circle with respect to its radius ...
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The total revenue in Rupees received from the sale of x units of a pro...
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