question_answer

In the given figure, upper pipe has radius 1 cm then find volume of this lamp?

A)  \[16\,\pi \,c{{m}^{3}}\]

B)  \[15\,\pi \,c{{m}^{3}}\]

C)  \[\frac{46}{3}\,\pi \,c{{m}^{3}}\]  

D)  \[\frac{48}{3}\,\pi \,c{{m}^{3}}\]

Correct Answer: C

Solution :

\[\therefore \] Volume \[=\pi {{r}^{2}}{{h}_{1}}+\frac{2}{3}\pi {{r}^{3}}+\pi r_{1}^{2}\times {{h}_{2}}\] \[=\pi (4\times 2+\frac{2}{3}\times 8+1\times 2)\] \[=\pi \,\left( 10+\frac{16}{3} \right)=\frac{46\pi }{3}c{{m}^{3}}\]