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Application of Derivatives
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Gas is escaping from a spherical balloon at the rate of $900 cm^3$/sec. How fast is the surface area, radius of the balloon shrinking when the radius of the balloon is 30cm?
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q63
p20
math
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Jan 29, 2013
by
meena.p
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Sand is pouring from a pipe at the rate of 12cm3/sec. 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 in increasing when the height is 4 cm?
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A man 160 cm tall walks away from a source of light situated at the top of the pole 6m high at the rate of 1.1 m/sec. How fast is the length of the shadow increasing when he is 1m away from the pole.
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An edge of a variable cube is increasing at the rate of 5 cm/sec. How fast is the volume of the cube is increasing when edge is 10cm long?
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Water is passed into an inverted cone of base radius 5 cm and depth 10 cm at the rate of $\Large\frac{3}{2}$ c.c/sec. Find the rate at which the level of water is rising when depth is 4 cm.
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