Question

A metallic cuboid of dimensions $36$ cm $\times$ $18$ cm $\times$ $11$ cm is melted to form lead balls each of diameter $3$ cm. Find the number of such lead balls formed

• A. $476$
• B. $504$
• C. $448$
• D. $532$

Answer 1

Answer: (B)

$504$

Radius of each lead ball $=\frac{Diameter}{2}=\frac{3}{2}$ cm
A lead ball is the shape of a sphere

Number of lead balls $=\frac{Volumeofcuboid}{Volumeofeachsphereball}=\frac{length\times breadth\times height}{\frac{4\pi }{3}\times {radius}^3}=\frac{36\times 18\times 11}{\frac{4}{3}\times \frac{2}{7}\times {\left(\frac{3}{2}\right)}^3}=504$