Q.The outer radius and inner radius of a hollow sphere made of iron are 21 cm and 7 cm respectively. If the weight of iron is 30 grams per cubic centimeter, what is the weight of the sphere? (a) 2112.12 kg (b) 2212.21 kg (c) 1121.12 kg (d) 1122.21 kg
Answer: C
Volume of the sphere \[ = \frac{4}{3}\pi[(21)^3 - (7)^3] \text{ cubic cm} = \frac{4}{3} \times \frac{22}{7} [9261 - 343] \text{ cubic cm} = \frac{4 \times 22 \times 8918}{3 \times 7} \text{ cubic cm} = \frac{4 \times 22 \times 1274}{3 \times 7} \text{ cubic cm} = \frac{4 \times 22 \times 1274}{3} \text{ cubic cm} = \frac{112112}{3} \text{ cubic cm} \] \(\therefore\) Weight of the hollow sphere \[ = \frac{112112}{3} \times 30 \text{ grams} = 1121120 \text{ grams} = 1121.12 \text{ kilograms} \]
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