Answer
The answer is below.
Work Step by Step
a) We use the equation for volume to obtain that the volume of the cylinder is $3.14 \times 10^{-2} m^3$. We now use the ideal gas law to find:
$ n = \frac{pV}{RT} = \frac{(182\times10^5)(3.14 \times 10^{-2})}{(8.314)(293)} = 234.6 \ mol$
b) We find:
$V = \frac{nRT}{p}=\frac{235\times8.314\times293}{10^5}=5.7 m^3$
