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. 

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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