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 formulaV = (30 - ). 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. A) 117.81 cm³ B) 114.63 cm³ C) 112.62 cm³ D) 121.61 cm³ E) 81.12 cm³

Question

Quizplus · Accepted Answer

The Answer of 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 formulaV = (30 - ). 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. A) 117.81 cm³ B) 114.63 cm³ C) 112.62 cm³ D) 121.61 cm³ E) 81.12 cm³

A Hemispherical Bowl of Radius 10 Inches Is Filled with Water