the csa of a right circular cone is 12320 cm². if the radius of its base is 56 cm ,find its height
Answers
Answered by
1
The curved surface are of a cone is 12320 sq.cm, if the radius of its base is 56 cm, find
= Radius of the cone ( r ) = 56 cm
Let the height = h cm
Slant height = l cm
CSA of the cone = 12320 cm²
π rl = 12320
( 22/7 ) × 56 × l = 12320
l = ( 12320 × 7 ) / ( 56 × 22 )
l = 70 cm
l² = r² + h²
h² = l² - r²
= 70² - 56²
= ( 70 + 56 ) ( 70 - 56 )
= 126 × 14
= 14 × 3 × 3 × 14
h = √ ( 14 × 14 ) × ( 3 × 3 )
h = 14 × 3
h = 42 cm
Similar questions