# Exam-Style Question on Mensuration

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 242. This question is typical of the type of question in a GCSE Higher examination. The use of a calculator is allowed.

The volume of a cone can be calculated using the formula $$V=\frac13 \pi r^2 h$$ and the area of the curved surface of a cone can be calculated using $$A= \pi r l$$ (where $$r$$ is the radius and $$l$$ is the slant height).

(a) Calculate the volume of this frustum;

(b) Calculate the total surface area of this frustum.

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