Question

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​

Answer 1

4264 cm³

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

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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.