The area of the curved surface of a right circular cone is root 10 times its area of the base.
Answers
Question is incomplete.
I think correct Question will be.
The area of the curved surface of a right circular cone is root 10 times its area of the base. Find the relation between the slant height and radius.
or Find the curved surface area in terms of cylinder.
Step-by-step explanation ⇒
As per as question, curved surface area = Area of the base of cone.
πrl = √10 × πr²
∴ l = √10 × r
This is the required relation.
C.S.A. = πrl
= πr (√10 × r)
= √10 πr².
Hope it helps.
Answer:
Height of cone is 3 times its radius
Step-by-step explanation:
The area of the curved surface of a right circular cone is root 10 times its area of the base.
Area of curved surface of a right circular cone = π R L
R Radius of Base
L = Slant Height
Area of Base = πR²
Area of curved surface of a right circular cone = √10 * Area of Base
=> π R L = √10 πR²
=> L = √10 R
L² = H² + R² ( H = Height of cone)
=> (√10 R)² = H² + R²
=> 10R² = H² + R²
=> H² = 9R²
=> H = 3R
Height of cone is 3 times its radius