12 solid spheres of same size are made by melting a solid metallic cone of base radius 1 cm and height of 48 cm find the radius of each sphere
Answers
Answer:
Step-by-step explanation:
Radius of Each sphere = 1 cm if 12 solid spheres of same size are made by melting a solid metallic cone of base radius 1 cm and height of 48 cm
Step-by-step explanation:
solid metallic cone of base radius 1 cm and height of 48 cm
Volume of Cone = (1/3)πr²h
r = 1 cm
h = 48 cm
Volume of cone = (1/3)π * 1² * 48 cm³
= 16π cm³
Let say radius of sphere = R cm
Volume of Sphere = (4/3))πR³ cm³
Volume of 12 Spheres = 12 * (4/3))πR³ cm³
= 16πR³ cm³
Volume of 12 Spheres = Volume of Cone
=> 16πR³ = 16π
=> R³ = 1
=> R = 1
Radius of Each sphere = 1 cm
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