Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base?
(a)1.4 m
(b)2.8 m
(c)14 m
(d)28 m
(e)None of these
Answer
Answer (as printed): D
Explanation
Volume of the tank $=246.4$ litres $=246400 \mathrm{cm}^{3}$.Let the radius of the base be $r \mathrm{cm}$. Then, $$\left(\frac{22}{7} \times r^{2} \times 400\right)=246400 \Leftrightarrow r^{2}=\left(\frac{246400 \times 7}{22 \times 400}\right)=196 \Leftrightarrow r=14 .$$ ∴ Diameter of the base $=2 r=28 \mathrm{cm}$.