If the volume of a cone is 1232 cm^3 . If slant height is 25 Cm find chord surface area of cone.
Answers
Answer--->
891.74 Cm²
Step-by-step explanation:
Correct question---> If the volume of a cone is 1232Cm³ and if height is 25 Cm find curved surface area of cone .
Given-----> Volume of a cone is 1232 Cm³ and height of cone is 25 Cm .
To find -----> Curved surface area of cone
Solution------> ATQ,
height of cone = 25 Cm
Volume of cone = 1232 Cm³
( 1 / 3 ) π r² h = 1232
=> ( 1 / 3 ) × ( 22/7 ) × r² × 25 = 1232
=> r² = 1232 × 3 × 7 / 22 × 25
=> r² = 56 × 3 × 7 / 25
=> r² = 7 × 8 × 3 × 7 / 5 × 5
=> r = 7 √56 / 5
=> r = 7 × 7.48 / 5
=> r = 10.47 Cm
We know that ,
l² = r² + h²
=> l ²= ( 10.47 )² + ( 25 )²
=> l² = 109.62 + 625
=> l = √734.62
=> l = 27.10 Cm
Curved surface area of cone = π r l
= ( 22/7 ) × ( 10.47 )× ( 27.10 )
= 891.74 Cm²