A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches
Which of the following could be used to calculate the volume
water in the vase? (6 points)
о
(3in)?(12in) - 1.50 (9in))
о
n(12in)?(3in) – 1.50 (in))
O
m(Bin)?(22in) – 4 9 n(1.5in)")
O
n(12in)(3 in) - 96
- 45 m(1.5in))

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Any is very appreciated! (picture is provided below)not sure how to do this at all won't lie

How is the equation of this circle written in standard form? x2 + y2 - 6x + 14y = 142 a) (x - 3)2 + (y + 7)2 = 200 b) (x+ 3)2 + (y - 7)2 = 200 (x - 6)2 + (y + 14)2 = 142 d) (x+6)2 + (y- 14)2 = 142