Pls help 30 points what 3d object is generated by rotating the rectangle about the x-axis.

a. a cylinder. with a radius of 2 and height 4

b. a cone with a radius of 4 and height 2

c. a cone with radius2 and height 4

d. a cylinder. with a radius of 4 and height 2

I’m ukmik

Step-by-step explanation:

12345

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.