ABC26GN5067 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
The volume of a right circular cone which is obtained from a wooden cube of edge 4.2 dm wasting minimum amount of wood is [SSC-CHSL (10+2) Exam, 2015]
(a)$19404 \mathrm{dm}^{3}$
(b)$194.04 \mathrm{dm}^{3}$
(c)$19.404 \mathrm{dm}^{3}$
(d)$1940.4 \mathrm{dm}^{3}$
Answer
Explanation
The volume of cone should be maximum. $$\begin{aligned} & \therefore \text { Radius of the base of cone } \\ & \qquad=\frac{\text { Edge of cube }}{2}=\frac{4.2}{2}=2.1 \mathrm{dm} . \end{aligned}$$ Height of cone = Edge of cube $=4.2 \mathrm{dm}$. $$\begin{aligned} \therefore \text { Volume of cone } & =\frac{1}{3} \pi r^{2} h \\ & =\left(\frac{1}{3} \times \frac{22}{7} \times 2.1 \times 2.1 \times 4.2\right) \text { cu.dm. } \\ & =19.404 \text { cu.dm. } \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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