A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to make n solid cones of height 1 cm and base radius 1 mm.

(d) 13500
Radius of the cylinder = 3 cm
Height of the cylinder = 5 cm
Radius of the cone = 1 mm = 0.1 cm
Height of the cone = 1 cm

$\therefore$ Number of cones, $n=\frac{\text { volume of the cylinder }}{\text { volume of } 1 \text { cone }}$

$=\frac{\pi \times 3^{2} \times 5}{\frac{1}{3} \pi \times 0.1^{2} \times 1}$

$=\frac{3 \times 9 \times 5}{0.01}$

$=13500$