Volume of a Frustum and Similar Triangles
Volume of a Frustum and Similar Triangles
Secondary 2
The upper part of a solid wooden right circular cone is cut off leaving the frustum shown in the diagram. The height of the original cone, \(VO\) is \(18\) cm and the base radius, \(OA\) is \(9\) cm. The radius, \(BC\), of the upper part is \(6\) cm. Take \(\pi \) to be \(3.142\).
- Name the two similar triangles in the figure below.
- Hence, show that \(VC=12\) cm.
- Hence, calculate the volume of the frustum, correct to \(3\) significant figures.
Video Solution:
Video solution locked
A free account saves your progress; this video needs tuition enrolment.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:(a) \(\triangle VCB\sim\triangle VOA\) (b) \(VC=12\text{ cm}\) (c) \(1070\text{ cm}^3\)
Need help? Join our IP Math tuition programme.
Learn more