A solid piece of iron in the form of a cuboid of dimensions 49cm × 33cm × 24cm, is moulded to form a solid sphere. The radius of the sphere is
Answers
Length of the cuboid = 49 cm
Breadth of the cuboid = 33 cm
Height of the cuboid = 24 cm
The radius of the sphere.
Given that,
Length (l) = 49 cm
Breadth (b) = 33 cm
Height (h) = 24 cm
We know that,
Substituting their values,
Volume of the cuboid =
Now, let us consider the radius of cube to be 'r'
As volume of sphere =
Where, r = radius of sphere
Volume of cuboid = volume of sphere molded
Therefore, according to the question
Therefore, the radius is 21 cm
Answer:
as per the question volume of cuboid=volume of sphere
volume of cuboid=lbh cubic cm
=38808cm3
volume of sphere =4/3pi r cube
4/3 pi r cube=38808cubic cm
r cube =38808x21/4x22
r=21 cm
Step-by-step explanation:
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