ABC26GN4927 · Volume and Surface Area

Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2007 · Marks: · Difficulty:

What part of a ditch, 48 metres long, 16.5 metres broad and 4 metres deep can be filled by the earth got by digging a cylindrical tunnel of diameter 4 metres and length 56 metres?

(a)$\frac{1}{9}$

(b)$\frac{2}{9}$

(c)$\frac{7}{9}$

(d)$\frac{8}{9}$

Answer

Answer (as printed): B

Explanation

Volume of earth dug $=\left(\frac{22}{7} \times 2 \times 2 \times 56\right) \mathrm{m}^{3}=704 \mathrm{m}^{3}$. Volume of ditch $=(48 \times 16.5 \times 4) \mathrm{m}^{3}=3168 \mathrm{m}^{3}$. ∴ Required fraction $=\frac{704}{3168}=\frac{2}{9}$.

Open in whiteboard · Browse this chapter in the app