The base of a solid is a circle of radius a, and its vertical cross sections are equilateral triangles. Find the radius of the circle if the volume of the solid is 10 cubic meters.(adsbygoogle = window.adsbygoogle || []).push({});

Eq. Triangle: A = [sqrt(3)/4]s^2

V = [sqrt(3)/4]*Integral{-a to a} 4(a^2 - x^2) dx

V = 2* [sqrt(3)*Integral{0 to a} (a^2 - x^2) ]dx

What next?

(Do I use x^2+y^2=a^2 somewhere?)

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Magnitude of a Base

**Physics Forums | Science Articles, Homework Help, Discussion**