Question

A solid metalic cylinder of base radius 3 cm and height 5 cm is melted to form cones. each of height 1 cm and base radius 1 mm. The number of cones is

• A. 450
• B. 1350
• C. 4500
• D. 13500

Answer 1

Answer: (D)

13500

Radius of cylinder=3cm.
Height=5cm
radius of cone= 1mm=0.1cm
height=1 cm
Volume of cylinder = number of cones* Volume of cone
$\Pi R^{2}h=n\ast \frac{1}{3}\Pi r^{2}h$
$\Pi 3^2\ast 5=n\ast \frac{1}{3}\Pi \ast {0.1}^2\ast 1$
$45=n\ast \frac{1}{3}\ast (.{1)}^2\ast 1$
$45=n\ast \frac{1}{300}$
$n=13500$
Answer (D) 13500