Chapter A1, Problem A1.19QAP

Interpretation Introduction

Interpretation:

The best estimate of the volume of the sphere and the value of standard deviation associated with the volume of sphere is to be determined.

Concept introduction:

The volume of sphere can be calculated as follows:

$V=\frac{4}{3}\pi r^3$

Where,

V= volume of sphere

r = radius of sphere

Also,

$\frac{s_V}{V}=3\times \frac{s_d}{d}$

Where,

$s_V$ = standard deviation in terms of volume

$V$ = volume

$s_d$ = standard deviation in terms of diameter

$d$ = diameter