Question
Download Solution PDFThe outer radius of a spherical shell is 13 cm and the thickness of the shell is 3 cm. What is the volume of the metal used for the shell? (π =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
Outer radius of a spherical shell is 13 cm and the thickness of the shell is 3 cm.
Formula Used :
Volume of sphere = 4/3πr3
Calculation :
Volume of the metal used = Voulme of outer surface - Volume of inner surface
⇒ 4/3π[133 - 103]
⇒ 4/3π[2197 - 1000]
⇒ 4/3π[1197]
⇒ 4/3 × 22/7 × 1197
⇒ 4/3 × 22 × 171
⇒ 4 × 22 × 57
⇒ 5016 cm3
∴ The correct answer is 5016 cm3.
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