The curved surface area of a cone is $4070\ cm^2$ and its diameter is $70\ cm$. What is the slant height? (Use $\pi = \frac{22}{7}$).

 Given:

The curved surface area of a cone is $4070\ cm^2$ and its diameter is $70\ cm$.

To do:

We have to find the slant height.

Solution:

Surface area of the cone $= 4070\ cm^2$

Diameter of the base $= 70\ cm$

This implies,
Radius of the base $(r)=\frac{70}{2}$

$=35 \mathrm{~cm}$

Therefore,

The slant height of the cone $=\frac{\text { Surface area }}{\pi r}$

$=\frac{4070 \times 7}{22 \times 35}$

$=37 \mathrm{~cm}$

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Updated on: 10-Oct-2022

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