A triangle with coordinates (0,0), (0, 7) and (6,0) is rotated 360 degrees about the x-axis. What is the volume of the figure created in cubic units?

Answer 1

triangle with vertices (0,0), (0,7) and (6,0) has base 6 and height 7

rotate it 360 degrees around the x axis and it creates a cone on it's side, with base's radius = 7

base area = 49pi

and height = 6

volume of a cone is 1/3 the volume of a cylinder which has volume = base area times height

the cone's volume = 49pi(6)/3 = 98pi cubic units