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Practice Test

Q. A spherical balloon is expanding. If the radius is increasing at the rate of 2 cm/min, the rate at which the
volume increase (in cubic centimeters per minute)when the radius is 5 cm, is

A)

10 π

B)

100 π

C)

200 π

D)

50 π

Correct option is C

Explanation :

∴ \frac{d V}{d t} = 8 π {(5)}^{2} = 200 π c m^{3} /

min

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SIMILAR QUESTIONS

Q. A circular sector of perimeter 60 m with maximum area is to be constructed .The radius the circular are in
metre must be

Q. If PQ and PR are the two sides of a triangle, then the angle between them which gives maximum area of the triangle, is

Q. A stone is dropped into a quiet lake. If the waves moves in circles at the rate of 30cm/sec when the radius
is 50 m, the rate of increase of enclosed area is

PRACTICE OTHER SUBJECTS ALSO

Chemistry
Physics
Maths

Practice Test:

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