Question

Find the amount of water displaced by a solid spherical ball of diameter
(i) $28cm$
(ii) $0.21m$

Answer 1

(i) $r=\frac{28}{2}=14$cm

$\Rightarrow$Volume$=\frac{4}{3}\times \frac{22}{7}\times r^3$

$\Rightarrow$Volume$=\frac{4}{3}\times \frac{22}{7}\times 14\times 14\times 14$

$\Rightarrow$$11498.66$cm${}^3$

(ii) $r=\frac{0.21}{2}=0.105$, Vol$=\frac{4}{3}\times \frac{22}{7}\times {\left(0.105\right)}^3$

$\Rightarrow$$0.004851$m${}^3$