Find the slant height

Geometry Level 3

The curved surface area of the frustum of a cone is 180 sq. cm and the circumference of its circular bases are 18 cm and 6 cm respectively.

Find the slant height of the frustum of a cone.


The answer is 15.

Ojasee Duble by Ojasee Duble , 19, India

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1 solution

One way of solving this is to use the formula A = 1 2 ( c + C ) L A=\dfrac{1}{2}(c+C)L where c c and C C are the circumferences of the bases and L L is the slant height.

So we have,

180 = 1 2 ( 6 + 18 ) ( L ) 180=\dfrac{1}{2}(6+18)(L)

360 = 24 L 360=24L

L = 15 c m L=15~cm

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Thanks for the solution! :)

Ojasee Duble - 3 years, 7 months ago

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