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

Explanation

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)`