Question

A solid right circular wax cone of height $12cm$ and radius $4cm$ is melted and smaller wax cones of height $4cm$ and radius $2cm$ are made. The number of smaller cones will be:

• A. $48$
• B. $18$
• C. $24$
• D. $36$

Answer 1

The correct option is B $18$

Number of cones made $=\frac{Volumeoflargercone}{Volumeofeachsmallercone}$

volume of cone$=\frac{1}{3}\pi r^{2}h$ where r is the radius of the base of the cone and h is the height.

hence,number of cone made$=\frac{1}{3}\pi \times {12}^2\times 4\frac{1}{3}\pi \times 4^2\times 2=18$