volume of two spheres are in the ratio 125:64. then find the ratio of their surface areas
Answers
Answered by
262
Solution:-
Let the radius of bigger sphere be 'R' and of the smaller sphere be 'r'
So, ratio of their volumes = 4/3πR³ : 4/3πr³ = 125 : 64
R³ : r³ = 125 : 64
R : r = 5 : 4
Now, total surface area of sphere = 4πr²
4πR² : 4πr²
= R² : r²
= 5² : 4²
Ratio of their surface areas = 25 : 16
Answer.
Let the radius of bigger sphere be 'R' and of the smaller sphere be 'r'
So, ratio of their volumes = 4/3πR³ : 4/3πr³ = 125 : 64
R³ : r³ = 125 : 64
R : r = 5 : 4
Now, total surface area of sphere = 4πr²
4πR² : 4πr²
= R² : r²
= 5² : 4²
Ratio of their surface areas = 25 : 16
Answer.
Answered by
29
Answer:
........................
Attachments:
Similar questions
English,
7 months ago
India Languages,
7 months ago
Computer Science,
7 months ago
Chemistry,
1 year ago
English,
1 year ago
Science,
1 year ago
Biology,
1 year ago
Science,
1 year ago