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A copper wire of length 36 m and diameter 2 mm is melted to form a sphere. The radius of the sphere (in cm) is :

A. 2.5 cm

B. 3 cm

C. 3.5 cm

D. 4 cm

Answer: Option B

Solution(By Examveda Team)

Let the radius of the sphere be r cm
Then,
$$\eqalign{ & \frac{4}{3}\pi {r^3} = \pi \times {\left( {0.1} \right)^2} \times 3600 \cr & \Leftrightarrow {r^3} = 36 \times \frac{3}{4} \cr & \Leftrightarrow {r^3} = 27 \cr & \Leftrightarrow r = 3\,cm \cr} $$

This Question Belongs to Arithmetic Ability >> Volume And Surface Area

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