Practice | Hashtable

Home > Practice > Arithmetic Aptitude > Volume and Surface Area > Miscellaneous

1. The radius of the base and height of a metallic solid cylinder are r cm and 6 cm respectively. It is melted and recast into a solid cone of the same radius of base. The height of the cone is :

A. 9 cm

B. 18 cm

C. 27 cm

D. 54 cm

Solution:

Let the height of the cone be h cm
Then,

\begin{aligned} π \times r^{2} \times 6 = \frac{1}{3} \times π \times r^{2} \times h \\ \Rightarrow h = 18 c m \end{aligned}

You must login to add comments. Login now.