Similar Shapes (Area and Volume)

MediumHard
12345678910111213
Question 3
Hard

The diagram represents a large wooden cone of height 9 cm and base diameter 12 cm. The large cone is made by placing a small cone A of height 3 cm and base diameter 4 cm on top of a frustum B.

Volume of cone=13πr2h \text{Volume of cone} = \frac{1}{3}\pi r^2 h Volume of cone=31​πr2h Curved surface area of cone=πrl \text{Curved surface area of cone} = \pi r l Curved surface area of cone=πrl

Calculate the volume of the frustum B. Give your answer in terms of π\piπ.

[4]

Similar Shapes (Area and Volume) Questions

  1. GCSE
  2. /Maths
  3. /Similar Shapes (Area and Volume)