Question

A solid wax right cone is melted and a number of right cylinder are made with the material find then the number of cylinders of the radius of the base of each cylinder is $\frac{1}{3}$ rd the radius of the cone and the height of each cylinder is half the height of cone

• A. 6
• B. 18
• C. 9
• D. 4

Answer 1

Answer: (A)

6

Number of cylinders made $=\frac{Volumeoflargercone}{Volumeofeachsmallercylinder}$
Hence, number of cones made $=\frac{\frac{1}{3}\pi \times r^2\times h}{\pi \times {\left(\frac{r}{3}\right)}^2\times \frac{h}{2}}=6$