A hollow spherical ball is made of an iron material of weight 5.25grm/m³. The ball has radius of 7 m and thickness of 200 cm. Find the weight of the ball? |
4 kg 4.75 kg 5 kg 5.65 kg |
4.75 kg |
200 cm = 2 m R = 7 m, r = 7 - 2 = 5 m Volume of ball = \(\frac{4}{3}\) \(\pi \)(R3 - r3) = \(\frac{4}{3}\) \(\pi \) ((7)3 - (5)3) = \(\frac{4\;×\;22}{3\;×\;7}\) ×(218) The weight of the spherical ball is = volume× 5.25g/m3 = \(\frac{4\;×\;22}{3\;×\;7}\) ×(218) × \(\frac{21}{4}\) = 4746 g or 4.75 kg |