Find the volume of a sphere whose diameter is: (i) 14 cm (ii) 3.5 dm

1.	Find the volume of a sphere whose diameter is: (i) 14 cm (ii) 3.5 dm (iii) 2.1 m
Answer» Volume of a sphere = \(\frac{4}{3}\)πr³ Cubic Units Where, r = radius of a sphere (i) diameter =14 cm So, radius = \(\frac{diameter}{2}\) = \(\frac{14}{2}\) = 7 cm Volume = \(\frac{4}{3}\) x \(\frac{22}{7}\) x (7)³ = 1437.33 Volume = 1437.33 cm³ (ii) diameter = 3.5 dm So, radius = \(\frac{diameter}{2}\) = \(\frac{3.5}{2}\) = 1.75 dm Volume = \(\frac{4}{3}\) x \(\frac{22}{7}\) x (1.75)³ = 22.46 Volume = 22.46 dm³ (iii) diameter = 2.1 m So, radius = \(\frac{diameter}{2}\) = \(\frac{2.1}{2}\) = 1.05 m Volume = \(\frac{4}{3}\) x \(\frac{22}{7}\) x (1.05)³ = 4.851 Volume = 4.851 m³

Find the volume of a sphere whose diameter is: (i) 14 cm (ii) 3.5 dm (iii) 2.1 m

Answer»

Volume of a sphere = \(\frac{4}{3}\)πr³ Cubic Units

Where, r = radius of a sphere

(i) diameter =14 cm

So, radius = \(\frac{diameter}{2}\)

= \(\frac{14}{2}\)

= 7 cm

Volume = \(\frac{4}{3}\) x \(\frac{22}{7}\) x (7)³

= 1437.33

Volume = 1437.33 cm³

(ii) diameter = 3.5 dm

So, radius = \(\frac{diameter}{2}\)

= \(\frac{3.5}{2}\)

= 1.75 dm

Volume = \(\frac{4}{3}\) x \(\frac{22}{7}\) x (1.75)³

= 22.46

Volume = 22.46 dm³

(iii) diameter = 2.1 m

So, radius = \(\frac{diameter}{2}\)

= \(\frac{2.1}{2}\)

= 1.05 m

Volume = \(\frac{4}{3}\) x \(\frac{22}{7}\) x (1.05)³

= 4.851

Volume = 4.851 m³