a) 19404 dm
b) 194.04 dm
c) 19.404 dm
d) 1940.4 dm
Answer: c
Explanation: The volume of cone should be maximum
Radius of the base of cone :
$$\eqalign{
& = \frac{{{\text{Edge of cube}}}}{2} \cr
& = \frac{{4.2}}{2} \cr
& = 2.1\,{\text{dm.}} \cr} $$
Height of cone = Edge of cube = 4.2 dm.
Volume of cone :
$$\eqalign{
& = \frac{1}{3}\pi {r^2}h \cr
& = \left( {\frac{1}{3} \times \frac{{22}}{7} \times 2.1 \times 2.1 \times 4.2} \right){\text{cu}}{\text{.dm}}{\text{.}} \cr
& = 19.404\,{\text{cu}}{\text{.dm}}{\text{.}} \cr} $$
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