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Question

Mathematics Question on Volume of a Sphere

Find the volume of a sphere whose radius is
(i) 7 cm
(ii) 0.63 m

Answer

(i) Radius of sphere = 7 cm
Volume of sphere =43πr3\frac{4}{3}\pi r^3
= 43\frac{4}{3} × 227\frac{22}{7} × 7 cm × 7 cm × 7 cm
=43123= \frac{4312}{3} cm3
= 1437.33 cm3
Therefore, the volume of the sphere is 1437 cm3 .


(ii) Radius of sphere = 0.63 m
Volume of sphere =43πr3\frac{4}{3}\pi r^3
= 43\frac{4}{3} × 227\frac{22}{7} × 0.63 m × 0.63 m × 0.63 m
= 1.047816 m3
= 1.05 m3 (approx.)
Therefore, the volume of the sphere is 1.05 m3 (approximately).