(a)[2]
Calculate the volume of a metal sphere with radius $15\,\text{cm}$ and verify that it rounds to $14\,140\,\text{cm}^3$, correct to 4 significant figures. [The volume, $V$, of a sphere with radius $r$ is $V=\frac{4}{3}\pi r^3$.]
(b(i))[3]
Calculate the amount of water needed to fill the tank.
(b(ii))[2]
Calculate the water depth, $d$, in the tank.
(c(i))[3]
Calculate the cone's radius.
(c(ii))[4]
Calculate the total surface area of the cone.