The volume of the greatest sphere that can

Question:

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) $\frac{20}{3} \pi$

Solution:

The radius of greatest sphere cut off from cylindrical log of wood should be radius of cylindrical log.

i.e., r = 1 cm

The volume of sphere

$=\frac{4}{3} \pi(1)^{3}$

$=\frac{4}{3} \pi \mathrm{cm}^{3}$

Hence, the correct answer is choice (a).

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