ABC26GN5023 · Volume and Surface Area

Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:

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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