# If the Area of the Base of a Right Circular Cone is 3850 Cm2 and Its Height is 84 Cm, Then Find the Slant Height of the Cone. - Mathematics

Sum

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

#### Solution

We have,

Height = 84 cm

Let the radius and the slant height of the cone be r and l, respectively.

Area of the base of the cone = 3850 cm2

=> pi"r"^2 = 3850

=> 22/7xx"r"^2 = 3850

=> "r"^2 = 3850xx7/22

=> "r"^2 = 1225

=> "r" = sqrt(1225)

∴ r = 35 cm

Now,

"l" =sqrt("h"^2+"r"^2)

=sqrt(84^2+35^2)

=sqrt(7056+1225)

=sqrt(8281)

= 91 cm

So, the slant height of the given cone is 91 cm.

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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Exercise | Q 11 | Page 915