Write the equation for a circle with center (0, −4) and radius 8.

Step-by-step explanation:

Equation of circle with (h,k) as center and radius r is given by,

          (x-h)²+(y-k)² = r²

Here we need to find equation for a circle with center (0, −4) and radius 8.

Center = (h,k) = (0, −4)

Radius = r = 8

Substituting in equation

              (x-h)²+(y-k)² = r²

               (x-0)²+(y-(-4))² = 8²

               x²+(y+4)² = 64

                x²+y²+8y+16 = 64

                x²+y²+8y-48 = 0

Equation for a circle with center (0, −4) and radius 8 is x²+y²+8y-48 = 0

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: