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The diameter ofa sphere is 4.24 m. Calculate its surface area with due regard to significant figures .

Answer»

Solution :Diameter d=4. 24 m
Radius r `=(d)/(2) = (4.24)/(2) = 2.12`
surface AREA of SPHERE = `4pi r^(2)`
`= 4xx3.1428xx2.12xx2.12`
In the above multiplication 2.12 has 3 significant figures. Hence 3.1428 is rounded off to have 3 + 1 =4 significant figures. It BECOMES 3.143.
Surface area `=4xx3.143xx2.12xx2.12=56.50`
56.50 this to be rounded off to have 3 significant figures. `:. `Area is `56.5m^(2)`


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