ASTE SEC b) The volume of a sphere is given by the formula V = nr3 .Using logarithms
tables find the volume of a sphere with radius 10.06 cm (take n = 3.142)
AUGUSTUS

  4264 cm³

Step-by-step explanation:

The formula is properly written as ...

  V = (4/3)πr³

So, the logarithm of the volume is ...

  log(V) = log(4/3) +log(π) +3·log(r)

  = log(1.333) +log(3.142) +3·log(10.06)

  = 0.12483 +0.49721 +3·1.00260

  = 3.62984

  V = 10^3.62984 ≈ 4264 . . . . cm³

Comment on this solution

We don't have your log tables. We have assumed that a 4 significant-figure number is used to find a 5-significant-figure logarithm, and vice versa. Rounding results in a result slightly different from using the volume formula directly. That gives 4265 cm³.