Mathematics (AS & A Level) · Oct / Nov 2024 · Paper 32 · Question 10
9709
As printed in the paper
The question as text
A balloon in the shape of a sphere has volume V and radius r. Air is pumped into the balloon at a constant rate of r 40 starting when time t 0 = and r 0 = . At the same time, air begins to flow out of the balloon at a rate of r . r 0 8 . The balloon remains a sphere at all times.
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
10(a)[3]
10(b)[3]
10(c)[6]
10(d)[1]
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