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The radii of three brass spheres are 3 meters, 4 meters and 5 meters respectively. These spheres are…

Radius of the large sphere \(R = \sqrt[3]{3^3 + 4^3 + 5^3} = \sqrt[3]{216} = 6\text{ m}\). Surface area \(= 4\pi R^2 = 4 \times \frac{22}{7} \times 36\text{ m}^2\). Cost of…

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The radii of three brass spheres are 3 meters, 4 meters and 5 meters respectively. These spheres are melted to form a large sphere; which of the following is the cost of gold-plating this large sphere at the rate of ₹ 3.50 per sq. meter ?

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Correct answer C

Radius of the large sphere R=33+43+533=2163=6 mR = \sqrt[3]{3^3 + 4^3 + 5^3} = \sqrt[3]{216} = 6\text{ m}. Surface area =4πR2=4×227×36 m2= 4\pi R^2 = 4 \times \frac{22}{7} \times 36\text{ m}^2. Cost of plating =4×227×36×3.50=Rs. 1,584= 4 \times \frac{22}{7} \times 36 \times 3.50 = \text{Rs. }1,584.

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