Q. 3

$v \, \alpha \, d^3 When \, d = 12cm, \, v = 576cm^3 v = kd^3 k = \frac{v}{d^3} k = \frac{576}{12^3} k = \frac{3}{10}$

Find v when d = 6cm

$v = \frac{3}{10} \times 6^3 v = 72 cm^3$
Find d when v = 1300

$kd^3 = v d^3 = \frac{v}{k} d^3 = \frac{1300}{\frac{3}{10}} d = \sqrt[3]{\frac{1300}{\frac{3}{10}}} d = \sqrt[3]{4333.3} d = 16.3 cm$