The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and… · ABC26GN5023

Subject: General Aptitude · Chapter: Volume and Surface Area

The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is
(a)$\frac{4}{3} \pi$
(b)$\frac{10}{3} \pi$
(c)$5 \pi$
(d)$\frac{20}{3} \pi$
Answer
Answer (as printed): A
Explanation
Required volume = Volume of a sphere of radius 1 cm $$=\left(\frac{4}{3} \pi \times 1 \times 1 \times 1\right) \mathrm{cm}^{3}=\frac{4}{3} \pi \mathrm{cm}^{3} .$$

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