A hemispherical bowl of radius 10 inches is filled with water to a depth of x inches. The volume V of water in the bowl (in cubic centimetres) is given by the formula V =

(30 x
2 - x
3). Suppose that you measure the depth of water in the bowl to be 5 cm with a maximum possible measured error of 0.5 cm. Estimate the maximum error in the calculated volume of water in the bowl using a linear approximation.
◦ 112.62 cm
3◦ 121.61 cm
3◦ 81.12 cm
3◦ 114.63 cm
3◦ 117.81 cm
3