Find the center and radius of the circle with the equation: a. center: (-5, 1) radius: 4 c. center: (-5, 1) radius: 2 b. center: (5, -1) radius: 4 d. center: (5, -1) radius: 2

Step-by-step explanation:

if center= (h,k)

radius=r

eq. of circle is (x-h)^2+(y-k)^2=r^2

a.

center= (-5,1)

radius=4

eq. of circle is (x+5)^2+(y-1)^2=4^2

b.

center=(5,-1)

radius=4

eq. of circle is  (x-5)^2+(y+1)^2=4^2

c.

center=(-5,1)

radius=2

eq. of circle is (x+5)^2+(y-1)^2=2^2

d.

center=(5,-1)

radius=2

eq. of circle is (x-5)^2+(y+1)^2=2^2

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere