Find The Height Of The Cone With Diameter Of The Base
Answer: (2) 3 cm
The diameter of solid metallic ball = 6 cm (Given)
Then, the radius of this ball = 6 /2 = 3 cm
The volume of solid metallic ball = 4 x pai x r3/3
Where, r = radius of the ball
Now, the volume of spherical ball = 4 x 22 x 33/3 x 7 = 88 x 9/7 = 792/7 cm3The volume of spherical ball = the volume of cone (According to the question)
The volume of cone = Pai x r2 x h/3
Where, r = radius of the cone & h = height of the cone.
The diameter of the cone = 12 cm (Given)
Then, the radius of the cone (r) = 12/2 = 6 cm
Now, the volume of the cone = 22 x (6)2 x h/3 x 7 = 792/7
22 x 6 x 2 x h/7 = 4 x 22 x 3 x 3/7
h = 3 cm
Hence, the height of the cone is (2) 3 cm.