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1.7.18 Chain rule (A-level only)

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Question 56

A solid sphere is dissolving in a chemical solution. The surface area of the sphere, $A$ , is decreasing at a constant rate.

Show that the rate of decrease of the radius, $r$ , of the sphere is inversely proportional to $r$ .

You may use the following formula for the surface area of a sphere:

4\pi r^2

[5]

Markscheme

1.7.18 Chain rule (A-level only) Questions

A Level
Maths
1.7.18 Chain rule (A-level only)

74 exam-style questions on OCR A Level Maths 1.7.18 Chain rule (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.7.18 Chain rule (A-level only)

Question bank

1.7.18 Chain rule (A-level only)

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Question 56

A solid sphere is dissolving in a chemical solution. The surface area of the sphere, $A$ , is decreasing at a constant rate.

Show that the rate of decrease of the radius, $r$ , of the sphere is inversely proportional to $r$ .

You may use the following formula for the surface area of a sphere:

4\pi r^2

[5]

Markscheme

1.7.18 Chain rule (A-level only) Questions

A Level
Maths
1.7.18 Chain rule (A-level only)

74 exam-style questions on OCR A Level Maths 1.7.18 Chain rule (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.