The length of diameter of solid sphere is 14cmm. If the sphere is melted then how many spheres with radius of length 3.5cm can be made
Answers
Solution :-
Given : The length of diameter of solid sphere is 14 cm.
Radius = 14/2 = 7 cm
Let the number of sphere with radius of length 3.5 cm can be made be x
We know that,
Volume of sphere = 4/3πr³ cu. units
According to the question,
=> 4/3 × 22/7 × 7 × 7 × 7 = 4/3 × 22/7 × 3.5 × 3.5 × 3.5 × x
=> 343 = 42.875x
=> x = 343/42.875 = 8
Hence,
Number of sphere made = 8
HELLO GUYS
QUESTIONS :-The length of diameter of solid sphere is 14cmm. If the sphere is melted then how many spheres with radius of length 3.5cm can be made
ANSWER :-⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵
Solution :-
Given : The length of diameter of solid sphere is 14 cm.
Radius = 14/2 = 7 cm
Let the number of sphere with radius of length 3.5 cm can be made be x
We know that,
Volume of sphere = 4/3πr³ cu. units
According to the question,
=> 4/3 × 22/7 × 7 × 7 × 7 = 4/3 × 22/7 × 2.5 × 3.5 × 3.5 × x
=> 343 = 42.875x
=> x = 343/42.874 = 8
Hence,
Number of sphere made = 8