AIEEE Exam Category

A spherical balloon is filled with 4500pie
cubic meters of helium gas. If a leak in the balloon causes the gas toescape at the rate of 72pie cubic meters per minute, then the rate (in meters per minute) at which the radiusof the balloon decreases 49 minutes after the leakage began is :
(1)7/9
(2)9/7
(3)2/9
(4)9/2

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AIEEE Other Question
The equation e^sinx–e^(–sinx)–4 = 0 has :
(1) infinite number of real roots
(2) no real roots
(3) exactly one real root
(4) exactly four real roots In a trianglePQR, if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P = 1, then the angle R is equal to?
R is in form of pie.