what will be the diameter of sphere whose surface area is 55.44m ²
Answers
Answered by
9
Step-by-step explanation:
d≈1.32
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Answered by
13
The diameter of the sphere is 4.2m.
Given: Surface area of the sphere = 55.44m ²
To Find: The diameter of the sphere
Solution:
The surface area of a sphere is given as
SA = 4πr², where SA is the surface area, r is the radius of the sphere
Let us assume that the radius of the sphere is r
On placing the values in the formula, we get
55.44 = 4 x π x r²
55.44 = 4 x x r²
55.44 x 7 = 4 x 22 x r²
2.52 x 7 = 4 r²
0.63 x 7 = r²
4.41 = r²
= r
r = 2.1m
Diameter = radius x 2
Diameter = 2 x 2.1
= 4.2m
Therefore, the diameter of the sphere is 4.2m.
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