An object has a rectangular base of dimension 3" by 9", if the 3" edge is aligned on the origin, then the height is given by y = sqrt(x). Calculate the volume of the object. Be detail oriented in setting up the integral.

I am thinking that this is going to be an integral from x = 0 to x = 3 with the function f(x) = sqrt(x), is this correct? Or how would I go about it?

Question

An object has a rectangular base of dimension 3" by 9", if the 3" edge is aligned on the origin, then the height is given by y = sqrt(x). Calculate the volume of the object. Be detail oriented in setting up the integral. 

I am thinking that this is going to be an integral from x = 0 to x = 3 with the function f(x) = sqrt(x), is this correct? Or how would I go about it?

anonymous · Answer

could you be a bit more specific? which side is perpendicular to the x-axis?

anonymous · Answer

Here is the picture.