Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
Two cylindrical vessels with radii 15 cm and 10 cm and heights 35 cm and 15 cm respectively are filled with water. If this water is poured into a cylindrical vessel 15 cm in height, then the radius of the vessel is
(a)17.5 cm
(b)18 cm
(c)20 cm
(d)25 cm
Answer
Answer (as printed): D
Explanation
Let the radius of the vessel be $R$. Then, $\pi R^{2} \times 15=\pi \times(15)^{2} \times 35+\pi \times(10)^{2} \times 15 \Leftrightarrow \pi R^{2} \times 15$ $=9375 \pi \Leftrightarrow R^{2}=625 \Leftrightarrow R=25 \mathrm{cm}$.