Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
The radii of the bases of a cylinder and a cone are in the ratio of 3 : 4 and their heights are in the ratio 2 : 3. Find the ratio of their volumes.
Answer
Answer (as printed):
Explanation
Let the radii of the cylinder and the cone be $3 r$ and $4 r$ and their heights be $2 h$ and $3 h$ respectively. $$\therefore \frac{\text { Volume of cylinder }}{\text { Volume of cone }}=\frac{\pi \times(3 r)^{2} \times 2 h}{\frac{1}{3} \pi \times(4 r)^{2} \times 3 h}=\frac{9}{8}=9: 8 .$$
Explanation as extracted from the printed page; notation may be imperfect.