The generator shown accumulates enough
static electricity to leave your hair standing on
end when you touch it. The main platform is a
composite figure made up of a sphere and a
cylinder. The radius of the sphere is 6 inches.
The radius of the cylinder is 2 inches, and the
height of the cylinder is 20 inches. What is the
volume of the main platform? Round to the
nearest tenth. Use the pi button on your
calculator.

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.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).

your answer is  

d.

196.5 m2

step-by-step explanation: