Question
Download Solution PDFIf 125 identical small spheres are made from a solid sphere of diameter 15 cm, then what is the surface area of each of the small sphere?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: 125 small spheres
Concept used: The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere.
Solution:
Diameter of the large sphere = 15 cm
Radius of the large sphere
⇒ 15 cm / 2 = 7.5 cm
Radius of each small sphere = Radius of large sphere / ∛125
⇒ 7.5 cm / 5 = 1.5 cm
The surface area of each small sphere
⇒ 4π(1.5 cm)2 = 4π(2.25 cm2) = 9π cm2
Therefore, the surface area of each small sphere is 9π cm2.
Last updated on Jul 8, 2025
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