Question 67

Weight of a solid metal sphere of radius 4 cm is 4 kg the weight of a hollow sphere made with same metal whose outer diameter is 16 cm and inner diameter is 12 cm is

Solution

Volume of solid sphere with radius 4 cm is,

= $$\frac{4}{3} \pi (4)^{3} cm^{3}$$

Volume of hollow sphere with outer diameter 16 (r = 8) and inner diameter 12 (r = 6) is,

= $$\frac{4}{3} \pi (8^{3} - 6^{3}) cm^{3}$$

= $$\frac{4(512 - 216)}{4^{3}}$$

= $$\frac{296}{4^{2}}$$

= $$18.5$$

Hence, option D is the correct answer.

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