let us calculate the slant height of a right circular cone whose circumference is 660divided7 cm and height is 20 cm
Answers
Step-by-step explanation:
Given:-
A right circular cone whose circumference is 660/7 cm and height is 20 cm
To find:-
Find the length of the slant height of the right circular cone?
Solution:-
Given that
Circumference of a right circular cone = 660/7 cm
We know that
The base of the cone is in the shape of a circle
Circumference of a cone
= Circumference of a circle
= 2πr units
= > 2πr = 660/7 cm
=> 2×(22/7)× r = 660/7
=> (44/7)×r = 660/7
=> 44r/7 = 660/7
=> 44r = (660/7)×7
=> 44r = 660
=> r = 660/44
=> r = 30/2
=>r = 15 cm
Radius of the circular cone = 15 cm
Given that
Height of the cone = 20 cm
We know that
The slant height of a right circular cone =
l = √(r^2+h^2) units
=> l = √[15^2+20^2] cm
=> l = √(225+400) cm
=> l =√625 cm
=> l = 25 cm
Slant height= 25 cm
Answer:-
Slant height of the given circular cone is 25 cm
Used formulae:-
- Circumference of a circle= 2πr units
- The slant height of a right circular cone =
l = √(r^2+h^2) units
- l = Slant height
- r = radius
- h = height
- π=22/7