Acylinder and a cone have the same diameter: 8 inches. the height of the cylinder is 3 inches. the height of the cone is 18 inches. use π = 3.14. what is the relationship between the volume of this cylinder and this cone? explain your answer by determining the volume of each and comparing them. show all your work

The formula of a volume of a cone:

We have 2r = 8 in → r = 4in and H = 18 in. Substitute:

The fomula of a volume of a cylinder:

We have 2r = 8 in → r = 4 in and H = 3 in. Substitute:

The volume of the cylinder is twice as large as the volume of the cone.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.