Acylinder and a cone have the same diameter: 8 inches. the height of the cylinder is 9 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.

Finding the Volume of the Cylinder and Cone

Cylinder

Cylinder volume is equal to  π r^2h

Insert values into equation and solve.

(Diameter divided by 2 is the value of the radius.)

π(4)^2(9)

π(16)(9)

π144

The volume of the cylinder is 452.16 inches.

Cone

Cone volume is equal to 1/3 πr^2h

1/3 π(4)^2(18)

96 π

The volume of the cone is 301.44 inches.

Finding The Relationship

The volume of the cone is 301.44 inches.

The volume of the cylinder is 452.16 inches.

301.44 * 1 = 301.44

301.44 * 1.5 = 452.16

The volume of the cylinder is 1.5 times more than the volume of the cone. 

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.