Question

The largest sphere is cut off from a cube of side 6 cm. The volume of the sphere will be
A. 27π cm³
B. 36π cm³
C. 108π cm³
D. 12π cm³

Answer 1

Volume of sphere is 36π cm³. Option B is correct.

Step-by-step explanation:

• Given data

        Side of cube (a) = 6 cm

        Let radius of sphere = R

• Here the largest sphere is cut off from a cube, it means

        Diameter of sphere = Side of cube

        2R =a

        2×R= 6

        So

        R = 3 cm

• From formula of volume of sphere

        Volume of sphere$\mathbf{=\frac{4}{3}\pi R^{3}}$

        Volume of sphere$\mathbf{=\frac{4}{3}\pi \times 3^{3}}$

        Volume of sphere$\mathbf{=4\times \pi \times 3^{2}}$

        Volume of sphere$\mathbf{=36\times \pi }$= Means option B is correct.