Question

a vessel in the shape of cuboidcontains some water animals in water level of model is increased by 2 CM if the area of the base is 160 cm square and its height is 12 CM determine the radius of any of the sphere

Answer 1

Hey,

Area of the base of cuboid = 160 sq cm

Let the radius of sphere be 'r'

Volume of one sphere = 4/3πr³

Volume of three spheres = 4πr³

Increased height of the cuboidal vessel = 2 cm

Increased volume of the water = (160 ×2) = 320 cm³

Since the volume is increased after immersing the 3 spheres in the vessel, so increased volume of water will be equal to the volume of three spheres.

⇒ 4πr³ = 320

⇒ 4*22/7*r³ = 320

⇒ r³ = (320*7)88

⇒ r³ = 2240/88

⇒ r³ = 25.45

⇒ r = 2.94 cm

So, the radius of each sphere is 2.94 cm.

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Answer 2

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