ABC26GN4985 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
A sphere, cylinder and cone of dimensions radius $=r \mathrm{cm}$ and height $=2 r \mathrm{cm}$ are made. Which one has the greatest volume?
(a)Cone
(b)Sphere
(c)Cylinder
(d)All have equal volume
Answer
Explanation
Volume of sphere $=\left(\frac{4}{3} \pi r^{3}\right) \mathrm{cm}^{3}$. Volume of cylinder $=\left[\pi r^{2} .(2 r)\right] \mathrm{cm}^{3}=\left(2 \pi r^{3}\right) \mathrm{cm}^{3}$. Volume of cone $=\left[\frac{1}{3} \pi r^{2} \cdot(2 r)\right] \mathrm{cm}^{3}=\left(\frac{2}{3} \pi r^{3}\right) \mathrm{cm}^{3}$. Clearly, cylinder has the greatest volume.
Explanation as extracted from the printed page; notation may be imperfect.
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