the surface area of a sphere is same as the c.s.a of a cone having the radius of the base as 120 cm and height 160 cm . find the radius of the sphere
Answers
Answered by
0
Answer:
this is the correct answer
Attachments:
Answered by
15
Given :
Radius of cone ,r = 120 cm
Height of cone, h = 160 cm
Slant height of a cone,l = √r² + h²
l = √120² + 160²
l = √14400 + 25600
l = √40000
l = 200 cm
Surface area of a sphere = curved surface area of a cone (Given)
4πR² = πrl
4R² = rl
4R² = 120 × 200
R² = (120 × 200)/4
R² = 30 × 200
R² = 6000
R = √6000
R = 77.46 cm
Radius of a sphere, R = 77.46 cm
Hence , the Radius of a sphere is 77.46 cm.
Similar questions