O-LevelAdditional MathematicsDifferentiation and integration4037/21 · May/June 2023 · Q54 Marks

The volume, V, of a sphere of radius r is given by V = (4/3)πr³. The volume of a sphere is increasing at a constant rate of 24 cm³ s⁻¹. Find the rate of increase of the radius when the radius is 6 cm.

The volume, V, of a sphere of radius r is given by V = (4/3)πr³. The volume of a sphere is increasing at a constant rate of 24 cm³ s⁻¹. Find the rate of increase of the radius when the radius is 6 cm.[4]

Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

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Topic: Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source: O-Level Additional Mathematics, May/June 2023 Paper 2 Variant 1, question 5.

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