Using the joint variation equation $\displaystyle{V}={k}{{r}}^{{2}}{h}\usepackage{cmbright}\Huge\$ , substitute the values for cylinder A.

$\displaystyle{197.82}={k}{\left({{3}}^{{2}}\right)}{\left({7}\right)}\usepackage{cmbright}\Huge\$

$\displaystyle{k}={3.14}\usepackage{cmbright}\Huge\$

Use 3.14 in the next joint variation equation to find the volume of cylinder B.

$\displaystyle{V}={3.14}{\left({{4}}^{{2}}\right)}{\left({9}\right)}={452.16}\usepackage{cmbright}\Huge\$