A solid piece of iron in the form of a cuboid of dimensions cm cm cm49 33 24# # , is moulded to form a solidsphere. The radius of the sphere
Question
A solid piece of iron in the form of a cuboid of dimensions 49 cm x 33 cm x 24 cm, is moulded to form a solid sphere. The radius of the sphere
Solution
The volume of the cuboid is given by the product of its dimensions, which is 49cm * 33cm * 24cm = 38772 cubic cm.
The volume of a sphere is given by the formula (4/3)πr³, where r is the radius of the sphere.
Setting these two volumes equal to each other, we have:
(4/3)πr³ = 38772 cubic cm
Solving for r, we get:
r³ = (38772 * 3) / (4π)
r³ = 9231.64
Taking the cube root of both sides, we find:
r = 21.02 cm
So, the radius of the sphere is approximately 21.02 cm.
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