Q. 114.0( 6 Votes )

If the area of the base of a right circular cone is 3850 cm2 and its height is 84 cm, find the slant height of the cone.

Given,

Area of the base of the right circular cone = 3850 cm2

Height of the right circular cone = 84 cm

Let the radius of the cone = r

And the slant height of the cone = l

As,

Area of the base of the cone = 3850 cm2

πr2 = 3850

227 × r2 = 3850

r2 = 3850 × 722

r2 = 1225

r = √1225

Therefore,

r = 35 cm

Now,

length = √h2 + r2

= √(84)2 + (35)2

= √7056 + 1225

= √8281

= 91 cm

So,

The slant height of the given cone is 91 cm.

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