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1.7.18 Chain rule (A-level only)

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Question 51

A spherical snowball is melting in the sun. The volume, $V$ , of the snowball is decreasing at a constant rate.

Show that the rate of decrease of the snowball's surface area, $A$ , is inversely proportional to its radius, $r$ .

You may use the following formulae for a sphere:

\frac{4}{3}\pi r^3 \quad \text{and} \quad A = 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 51

A spherical snowball is melting in the sun. The volume, $V$ , of the snowball is decreasing at a constant rate.

Show that the rate of decrease of the snowball's surface area, $A$ , is inversely proportional to its radius, $r$ .

You may use the following formulae for a sphere:

\frac{4}{3}\pi r^3 \quad \text{and} \quad A = 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.