Volume - Sphere = 4/3 π r^{3} |

1) A shot-putt is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g / cm

Mass = Volume x density

Volume = 4/ 3 π r

V = 4 /3 x 3.14 x 4.9.x 4.9 x 4.9

V = 492 .55 cm

Density = 7.8 g / cm

∴ Mass = V x D

⇒ Mass = 492.55 x 7.8 = 3841.89 g

∴ Mass = 3.84 kg

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2) A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine ( in mm

∴ radius = r = 3.5 /2 = 1.75 mm =

Volume = 4/3 π r

⇒ V= 4/3 x 3.14 x ( 1.75)

⇒ V = 22.44 mm

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3) Twenty seven solid iron sphere , each of radius r and surface area S are melted to form sphere with surface area S’. Find the radius r’ of the new sphere.

∴ Volume of 27 spheres = 27 (4/3 π r

Volume of new sphere = 4/3 π r’

∴ 4/3 π r’

∴ r’

∴ r’ = 3r

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4) Find the volume of a sphere whose surface area is 154 cm

S = 4 π r

154 = 4 π r

r

∴ r

∴ r = 3.5 cm

Volume = 4/ 3 π r

V = 4 / 3 x 3.14 x (3.5)

∴ V = 179. 50 cm

• Volume Formulas

• Volume of Irregular Shape

• Volume of Cube

• Volume of Rectangular Prism(Cuboid)

• Volume of Cylinder

• Volume of Cone

• Volume of Sphere

• Volume Hemisphere

• Volume of Prism

• Volume of Pyramid

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