The volume of the cone is 294.38 . The radius of the base is 7.5 cm . Which of the following could be the height of the cone ?
$${\mathtt{V}} = {\frac{{\mathtt{\pi}}{\mathtt{\,\times\,}}{{\mathtt{r}}}^{{\mathtt{2}}}{\mathtt{\,\times\,}}{\mathtt{h}}}{{\mathtt{3}}}}$$
$${\mathtt{294.38}} = {\frac{{\mathtt{\pi}}{\mathtt{\,\times\,}}{{\mathtt{7.5}}}^{{\mathtt{2}}}{\mathtt{\,\times\,}}{\mathtt{h}}}{{\mathtt{3}}}}$$ Times both sides by 3
$${\mathtt{883.14}} = {\mathtt{\pi}}{\mathtt{\,\times\,}}{\mathtt{56.25}}{\mathtt{\,\times\,}}{\mathtt{h}}$$ Divide both sides by 7.5^2 which = 56.25 and pi
$${\mathtt{5}} = {\mathtt{h}}$$ (nearest whole. the actual figure is around 4.998)
The answer is b, 5cm.