Question

A right triangle with vertices J(4, 0), K(0,0), and L(0,5) is rotated around the x-axis. To the nearest tenth of a unit, what is the volume of the resulting three-dimensional figure formed? Approximate as 3.14.
a. 83.7 units^3
b. 104.7 units^3
c. 251.2 units^3
d. 314.0 units^3

Answer 1

This is the concept of graphs and volume of the solid figures, given that the triangle J,K,L was rotated along the x-axis, the resultant figure was cone with with radius of 5 units and a height of 4 units;
The volume of a cone is given by;
V=πr^2(h/3)
r=5 units
h=4 units
V=π*5^2*(4/3)
V=104.72 units^3
the answer is B]