Question

Chem 101 x Achemist encounters an under C A Hollow Spherical tron Ball X G lograms to grams - Google Question 15 of 49 A hollow spherical iron ball has a diameter of 15.3 cm and has a mass of 13.5 kilograms. Assuming the hole inside the ball is spherical with the same center as the center of the ball, what is the thickness of the layer of iron surrounding the hole? The density of iron is 7.86 g/cm. (The volume of a sphere is (4/3)Trº.) cm 1 2 3 4 5 6 7 8 9 +/- 0 x 100 Back

Answer 1

Given A Hollow spherical ball with vouter diameter (R) = 15,3 cm. vlet, the diameter of hollow sphere - be rcm. Density of iron (D)= 7. 86 91 cm3 ~ Mass of ball (M) = 13.7 kg = 13700 g Now, we know, - volume (V) = of ball . Mass of ball (M) Density af ball (D) v= 13700 = 1743 cm? = 7086 g/cm3 Again, volume of solid sphate (V) = 2/2 R² - 2 2183 = 1743 cm3 outer Inner Portion Volume Hollow Volime

(R_73) = 1443 3- 1743X3 1743 X 3 X7 4 X 122 ux22 15.3cm a) y = (15:39 - ( 1143 22?) > r = 31651633 = 14,68 cm 8. Thickness of layer (R-8) El - 1962) 2) Ř Aj = 0.6168 cm Thickness of layer of iron surrounding the hole Chollow portion) is 0.61ť cm (rand aff to 3 decimal place).