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Surface Area of a Frustum

If r1 and r2 ...

Question

If r₁ and r₂ denote the radii of the circular bases of the frustum of a cone such that r₁ > r₂, then write the ratio of the height of the cone of which the frustum is a part to the height fo the frustum.

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Solution

Since,

Therefore,

In

Hence,

The ratio of the height of cone of which the frustum is a part to the height fo the frustum.

$\frac{O V}{O O'} = \frac{h}{h_{1}} = \frac{r_{1}}{r_{1} - r_{2}}$

Hence,

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l

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Q. Question 7
The curved surface area of a frustum of a cone is

π (r_{1} + r_{2}) l

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r_{1} a n d r_{2}

are the radii of the two ends of the frustum and h is the vertical height.

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