A half of a pepperoni stick is 10 cm long. Assume that a cross section perpendicular to the axis of the pepperoni at a distance x from the end if a circle of radius rad(3x). What is the volume of the pepperoni

Answer 1

consider the stick as a stack of very thin slices of radius √(3x) and thickness dx. Apparently the whole stick is to be considered.

v = 2∫[0,10] πr^2 dx
where r^2 = 3x. So,
v = 2∫[0,10] π(3x) dx
v = 6π∫[0,10] x dx

I think you can probably handle that, ok?