Differential equations — Question 73
Original QCE Vault practice · 1 mark
Q73 · Practice questionSimple familiar1 mark
QUESTION 73
The volume of a sphere is increasing at 36π cm3s−1. When the radius is 3 cm, dr/dt is (A)1 cms−1 (B)3 cms−1 (C)4 cms−1 (D)9 cms−1 WORKED SOLUTION
Answer A
1 markWorked solution
From V=4πr3/3, dV/dt=4πr2dr/dt. Hence 36π=4π(3)2dr/dt, giving dr/dt=1 cms−1. Selects the correct option.
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