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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.
cbse
class12
modelpaper
2012
sec-b
q17
math
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Jan 30, 2013
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thanvigandhi_1
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The surface area of a spherical bubble is increasing at the rate of 2 $cm^2$/sec. Find the rate at which the volume of the bubble is increasing at the instant its radius is 6 cm.
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The surface area of a spherical bubble is increasing at the rate of $ 2 cm^2$/sec. Find the rate at which the volume of the bubble is increasing at the instant if its radius is 6 cm.
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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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Jan 2, 2013
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A water tank has the shape of an inverted right circular cone with its axis vertical and vertex lower most. Its semi-vertical angle is \( \tan^{-1} \bigg(\large\frac{1}{2} \bigg) \). Water is poured into it at a constant rate of 5 cubic meter per minute. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 10 m.
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Feb 4, 2013
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