Consider the hemi-spherical tank of radius $13 \mathrm{~m}$ as shown in the figure (not drawn to scale). What is the volume of water $\left(\mathrm{in} m^{3}\right)$ when the depth of water at the centre of the tank is $6 \mathrm{~m} ?$

(A) $78 \pi$

(B) $156 \pi$

(C) $396 \pi$

(D) $468 \pi$

Consider the hemi-spherical tank of radius $13 \mathrm{~m}$ as shown in the figure (not drawn to scale). What is the volume of water $\left(\mathrm{in} m^{3}\right)$ when the depth of water at the centre of the tank is $6 \mathrm{~m} ?$

(A) $78 \pi$

(B) $156 \pi$

(C) $396 \pi$

(D) $468 \pi$

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