A solid cylindrical rod of brass, 1 m long and 4 cm in diameter

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A solid cylindrical rod of brass, 1 m long and 4 cm in diameter, is melted and recast into a hollow spherical shell whose external radius is 9 cm. (Assume no loss of material.) (i) Find the thickness of the shell, correct to two decimal places. (ii) If the density of brass is 8.5 g ⁣ / ⁣ cm38.5\,\text{g}\!\,/\!\,\text{cm}^3, calculate the mass of the shell in kilograms, correct to one decimal place.

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