Question

Find the volume of the greatest right circular cone that can be described by the revolution about the side of a right angle of hypotenuse 1ft.
answere fast.....

Answer 1

Let the base of the triangle be r and let it also be the radius of the cone.
The height of the cone is :
1² - r² = 1 - r²
h = √(1 - r²)
Volume = πr²h
Volume = πr²(1 - r²) ^1/2
Volume = πr² (1- r^2)^1/2 feet cubed