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Math Analysis HL Paper 2 (May 2024, TZ2)

6. [Maximum mark: 6]

The volume of a spherical bubble increases at a constant rate of 5 cm3s15 \text{ cm}^3 \text{s}^{-1}.
The initial volume of the bubble can be assumed to be zero.
Find the rate, in cm s1\text{cm s}^{-1}, at which the radius of the bubble is increasing when the volume of the bubble is 20 cm320 \text{ cm}^3.