Skip to content

Course home

1.6 Differentiation

1.6 Differentiation

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182838485
Question 51

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

Show that the rate of decrease of the snowball's surface area, AAA, is inversely proportional to its radius, rrr.

You may use the following formulae for a sphere:

V=43πr3andA=4πr2 V = \frac{4}{3}\pi r^3 \quad \text{and} \quad A = 4\pi r^2 V=34​πr3andA=4πr2
[5]
Markscheme

1.6 Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.6 Differentiation

115 exam-style questions on CCEA A Level Maths 1.6 Differentiation, covering 1.6.1 Differentiation, 1.6.2 Differentiation, 1.6.3 Differentiation, 1.6.4 Differentiation, 1.6.5 Differentiation, 1.6.6 Differentiation, and 1.6.7 Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank