Acylinder has a volume of 225π inches3 . what is its height, if its radius is 10 inches? a) 2.25 inches b) 22.5 inches c) 2.25 π inches d) 0.716 inches

The formula for the volume of a cylinder is

... V = π·r²·h

where r is the radius and h is the height.

Filling in the given numbers, we have

... 225π in³ = π·(10 in)²·h

Dividing by the coefficient of h, we get

... (225π in³)/(100π in²) = h

Cancelling common factors, gives

... 2.25 in = h

The appropriate choice is

... A) 2.25 inches

250

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1