Acone has a volume of 144π in3 and a diameter of 12 in. wilson states that a cylinder with the same height and diameter has the same volume. which statement explains whether or not wilson is correct?
a cylinder in which h = 12 and d = 12 has a volume of 144π in3; therefore, wilson is correct.
a cylinder in which h = 4 and d = 12 has a volume of 144π in3; therefore, wilson is correct.
a cylinder in which h = 12 and d = 12 has a volume of 432π in3; therefore, wilson is incorrect.
a cylinder in which h = 4 and d = 12 has a volume of 432π in3; therefore, wilson is incorrect.

Option C.

Step-by-step explanation:

A cone has a volume = 144π in³ and diameter = 12 in

Since formula for the volume of a cone =

144π =

144π = 12πh

h =

h = 12 in

Now we will calculate the volume of cylinder with diameter = 12in and height = 12 in.

Volume of cylinder =

V =

V = 432 in³

Therefore, Option C. explains the statement that the cylinder having h = 12 and d = 12in has the volume of 432 in³.

if the diameter of the cone is 12, then its radius is half that, or 6 units.

so a cylinder with a height of 12 and a diameter of 6 will have that volume, thus Wilson is incorrect.

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)