Question

the slant height and height of a right circular cone are 41cm and 40cm respectively.then what is the radius?



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Answer 1

Step-by-step explanation:

Given:-

The slant height and height of a right circular cone are 41cm and 40cm respectively.

To find:-

what is the radius of the circular cone?

Solution:-

Slant height of a circular cone = 41 cm

Height of the circular cone = 40 cm

Let l = 41 cm and h = 40 cm

We know that

The radius of a cone is 'r' units ,height is 'h' units and the slant height of the cone is 'l' units then

l^2=h^2+r^2

=>r^2=l^2-h^2

=>r = √(l^2-h^2) units

On Substituting the values in the formula

=>r = √(41^2-40^2) cm

=>r =√(1681-1600) cm

=>r = √81 cm

=>r = 9 cm

Radius = 9 cm

Answer:-

The radius of the circular cone = 9 cm

Used formula:-

• The radius of a cone is 'r' units ,height is 'h' units and the slant height of the cone is 'l' units then l^2=h^2+r^2

Answer 2

9 cm

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Have a great day ahead ❤️❤️❤️........