Two cylindrical vessels with radii 15 cm and 10 cm and heights 35 cm and 15 cm respectively are filled with… · ABC26GN4922
Subject: General Aptitude · Chapter: Volume and Surface Area
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, $\pi R^{2} \times 15=\pi \times(15)^{2} \times 35+\pi \times(10)^{2} \times 15 \Leftrightarrow \pi R^{2} \times 15$ $=9375 \pi \Leftrightarrow R^{2}=625 \Leftrightarrow R=25 \mathrm{cm}$.