The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 $k m^{2}$ . Find the height of the mountain.

Open in App

Solution

Given, $l = 2.5 k m π r^{2} = 1.54 k m^{2} \Rightarrow \frac{22}{7} r^{2} = 1.54 \Rightarrow r^{2} = 0.49 \Rightarrow r = 0.7 k m$

Now, $l^{2} = r^{2} + h^{2} \Rightarrow {2.5}^{2} = {0.7}^{2} + h^{2} \Rightarrow h^{2} = 5.76 \Rightarrow h = 2.4 k m$

Suggest Corrections

Similar questions

The slant height of a conical mountain is 2.5 km and the area of its base is $1.54 k m^{2}$ . The height of the mountain is:

There is a conical tent whose slant height is 14 $m$ . If the curved surface area of cone is 308 $m^{2}$ ,then find its base area.

4

π = 3

Join BYJU'S Learning Program