An observatory is shaped like a solid whose base is a circular disk with diameter AB of length 2a. Find the volume of the solid if each cross section perpendicular to AB is a square.
An observatory is shaped like a solid whose base is a circular disk with diameter AB of length 2a. Find the volume of the solid if each cross section perpendicular to AB is a square.
base equation ...
using cross-sections perpendicular to the x-axis ...
cross-section side length =
cross-sectional area =
cross-sectional thickness =
using symmetry ...
integrate and evaluate using the FTC ... remember that is a constant.