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

Explanation

Diameter d = 4.24m
Radius `r= (d)/(2) = (4.24)/(2)= 2.12`
surface area of sphere `=4pi r^(2)`
`=4 xx 3.1428 xx 2.12 xx 2.12`
In the above multiplication 2.12 has 3 significant figures.
Hence 3.1428 is rounded off to have `3 + 1 = 4` significant figure. It becomes 3.143
Surface area `= 4 xx 3.143 xx 2.12 xx 2.12 = 56.50`
56.50 this to be rounded off to have 3 significant figures.
`therefore` Area is `56.5m^(2)`