Volume of two spheres are in ratio 125 : 27. Find the ratio of their surface areas.
Answers
Answered by
2
Answer:
25:9
Step-by-step explanation:
Volume of a sphere = 4/3 Pi r³
Therefore,
Ratio of the volumes =4/3 Pi R³/ 4/3 Pi r³
= R³/r³ = 125/27
=> (R/r)³ = (5/3)³
=> R/r = 5/3
Ratio of surface area = 4 Pi R²/4 Pi r²
= (R/r)² = (5/3)² = 25/9
Similar questions