Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with diameter 50 m. Estimate the relative error in computing the surface area of the hemisphere. O (E) None of the choices 0 0.02 o 0.2 o 0.002 0 0.00002 The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use differentials to estimate the possible error in computing the volume of the cube. 0 120 arms 0 (E) None of the choices 0 480 m3 0 4300 m3 O 240 cms Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using differentials, estimate the relative error in the area of the triangle. 0 (E) None of the choices 0 0.43 0 0.0433 0 0.075 O 0.07 Use differentials to find the approximate value of y: (2x - 1)* when x = 0.98. O 0.94 O (E) None of the choices O 0.98 O 0.88 O 0.84Use differentials to estimate the relative error in the lateral surface area of a right circular cylinder if the diameter is measured to be 10 in. with a possible error of 0.01 in. and the height is equal to its diameter. 0 0.002 O 0.004 O 0.2 O 0.04