A solid piece of iron of dimensions 49 × 33 × 24 cm is moulded into a sphere. The radius of the sphere is · ABC26GN5011
Subject: General Aptitude · Chapter: Volume and Surface Area
A solid piece of iron of dimensions $49 \times 33 \times 24 \mathrm{cm}$ is moulded into a sphere. The radius of the sphere is
(a)21 cm
(b)28 cm
(c)35 cm
(d)None of these
Answer
Explanation
Volume of the solid $=(49 \times 33 \times 24) \mathrm{cm}^{3}$. Let the radius of the sphere be $r$. $$\begin{array}{r} \text { Then, } \frac{4}{3} \pi r^{3}=(49 \times 33 \times 24) \Leftrightarrow r^{3}=\left(\frac{49 \times 33 \times 24 \times 3 \times 7}{4 \times 22}\right) \\ =(21)^{3} \Leftrightarrow r=21 . \end{array}$$
Explanation as extracted from the printed page; notation may be imperfect.
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