The diagram below shows a cone with the dimensions of its frustrum indicated. Calculate the...
MATHEMATICS
WAEC 1995
The diagram below shows a cone with the dimensions of its frustrum indicated. Calculate the height of the cone.
- A. 12cm
- B. 15cm
- C. 18cm
- D. 24cm
Correct Answer: D. 24cm
Explanation
Considering the smaller and larger triangle, these two are similar triangles. Hence,
If the height of the smaller triangle = h,
\(\therefore \frac{h}{6} = \frac{h + 12}{12}\)
\(12h = 6h + 72 \implies 6h = 72\)
\(h = 12 cm\)
\(\therefore\) The height of the cone = 12 + 12 = 24 cm
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