Question

the slant height of a right circular cone is 10 M and its height is 8 M find the area of its curved surface​

Answer 1

Given:-

• Slant height of the cone (l) = 10 m
• Height of the cone (h) = 8 m

To find:-

• Find the C.S.A. of the cone ?

Solutions:-

• Let the radius of the cone be 'r' m

Pythagoras theorem:-

=> H² = P² + B²

According to question:-

• Hypotenuse = 10 m
• Perpendicular = 8 m
• Base = r m

=> (10)² = (8)² + r²

=> 100 = 64 + r²

=> 100 - 64 = r²

=> 36 = r²

=> √36 = r

=> 6 = r

=> r = 6m

The Curved surface area of the cone => πrl

=> 22/7 × 6 × 10

=> 22/7 × 60

=> 1320m²

Hence, the Curved surface area of the cone is 1320 m².

Some Important:-

• Right circular cone:-
• h = height of cone
• r = Radius of cone
• s = slant height

• Volume = 1/3πr²h
• Lateral surface area = πr √r²+h²
• Total surface area = πr² + πr √r²+h²