The base area of a right circular cone is 1/4 of its total surface area. What is the ratio of the radius to the slant height?

Given:

The base area of a right circular cone is of its total surface area.

To find:

The ratio of the radius  to the slant height.

Solution:

We know that,

Area of base of a right circular cone =

Total surface area of a right circular cone =

where, r is radius and l is slant height.

According to the question,

Multiply both sides by.

Cancel out the common factors from both sides.

Now, ratio of the radius  to the slant height is

Therefore, the ratio of the radius  to the slant height is 1:3.

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step-by-step explanation:

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step-by-step explanation:

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