The volume of a right circular cone is 8800cm3 .If the diameter of the base is 20cm Find slant height. Height. CSA if the cone 40th or question
Answers
Answer:
h = 84 m , l = 84.59 m , CSA = 26585. 42 m²
Step-by-step explanation:
Given-----> Volume of a cone is 8800Cm³ and diameter of the base is 20 Cm
To find------> Slant height and CSA .
Solution-----> Let , radius , height , and slant height of cone be r , h and l respectively.
ATQ,
Diameter of base = 20 Cm
=> 2r = 20 Cm
=> r = 10 Cm
ATQ, Volume of cone = 8800
=> (1 / 3 ) π r² h = 8800
=> ( 22 / 7 ) ( 10 )² h = 8800 × 3
=> ( 22 / 7 ) × 100 × h = 8800 × 3
=> h = 8800 × 3 × 7 / 2200
=> h = 4 × 3 × 7
=> h = 84 m
We know that,
l² = r² + h²
=> l² = ( 10 )² + ( 84 )²
=> l² = 100 + 7056
=> l² = 7156
=> l = √7156
=> l = 84.59
Curved surface area of cone = π r l
= ( 22/7 ) × ( 10 ) × ( 84.59 )
= ( 2200 × 84.59 ) / 7
= 26585.42 m²