Bishop's Hat

Calculus Level 2

The volume of a solid whose base cross-section is a circle of radius 5 and every section perpendicular to the base is a square can be expressed as a b \frac{a}{b} ,where g c d ( a , b ) = 1 gcd(a,b)=1 What is the value of a + b ? a+b?


The answer is 2003.

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1 solution

Bug Menot
May 11, 2015

You don’t need to integrate if you know the formula for the volume, which is V = 16(r^3)/3. 16(5^3)/3 = 2000/3. gcd(2000,3) = 1. 2000 + 3 = 2003.

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