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A Hemispherical Bowl of Radius 10 Inches Is Filled with Water

Question 10

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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 = 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 cm<sup>3</sup> B) 114.63 cm<sup>3</sup> C) 112.62 cm<sup>3</sup> D) 121.61 cm<sup>3</sup> E) 81.12 cm<sup>3</sup> (30 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 cm<sup>3</sup> B) 114.63 cm<sup>3</sup> C) 112.62 cm<sup>3</sup> D) 121.61 cm<sup>3</sup> E) 81.12 cm<sup>3</sup> - 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 cm<sup>3</sup> B) 114.63 cm<sup>3</sup> C) 112.62 cm<sup>3</sup> D) 121.61 cm<sup>3</sup> E) 81.12 cm<sup>3</sup> ) . 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

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