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The radius of a circle is increasing uniformly at the rate of 3 cm per second. Find the rate in which the area of the circle is increasing when the radius is 10 cm.
cbse
class12
modelpaper
2012
sec-a
q6
math
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asked
Jan 2, 2013
by
thanvigandhi_1
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A balloon which always remains spherical has a variable radius. Find the rate at which its volume is increasing with the radius when the radius is 10 cm.
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The radius of a circle is increasing uniformly at the rate of $3\; cm/s.$ Find the rate at which the area of the circle is increasing when the radius is $10\; cm$.
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The surface area of a spherical bubble of water increasing at the rate of \( 2 \: cm^2/sec.\) Find the rate at which the volume of the water bubble is increasing at that instant when its radius is 6 cm.
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The rate of change of the area of a circle with respect to its radius r when r = 6 is \[ \begin{array} ((A) \: 10 π \quad & (B) \: 12 π \\ (C) \: 8 π \quad & (D)\: 11 π \end{array} \]
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The radius of a circle is increasing at the rate of $0.7\; cm/s$. What is the rate of increase of its circumference?
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Sand is pouring from a pipe at the rate of \( 12 cm^3/s.\) The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4 cm?
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