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Find the rate at which the radius of the balloon is increasing when the radius is $10\,\text{cm}$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
Air is being pumped into a spherical balloon, and its volume is rising at a constant rate of $50\,\text{cm}^3\,\text{s}^{-1}$.
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This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate the expression to obtain $\dfrac{d}{dr}(4\pi r^2-400\pi r)$” …
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