Find the volume of a sphere whose surface area is 1386 m.
Answers
Step-by-step explanation:
Given : Surface area of sphere = 1386 m
To find : Volume of sphere
Sol:-
Surface area of sphere = 4πr²
1386 = 4 x 22/7 x r²
1386 x 7 = 4 x 22 x r²
9702 = 88 x r²
9702÷88 = r²
110.25 = r²
10.5 = r
Volume of Sphere = 4πr³
= 4 x 22/7 x (10.5)³
= 4 x 22/7 x 10.5 x 10.5 x 10.5
= 4 x 22 x 1.5 x 10.5 x 10.5
= 14553 m³.
Therefore, the Volume of sphere is 14553 m³.
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Answer:
55.125 m³
Step-by-step explanation;
surface area of sphere=4πr²
1386m² = 4πr²
1386=4*22/7r².
1386*7/4*22=r²
9702/88=r²
110.25=r²
taking square root on both sides
10.5m=r,
volume of a sphere =4/3πr³
=4/3*22/7*10.5*10.5*10.5
=1157.625/21
55.125 m³