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
Share
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
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
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.
HOPE IT HELPS YOU:-))
HOPE IT HELPS ✌