Asap! 20 points!

a cylinder and a cone have the same diameter: 10 inches. the height of the cylinder and the cone is the same: 12 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.

Volume of cylinder is 3 times of volume of cone having same base diameter and same height.

Solution:

Given that  

A cylinder and A cone have the same diameter = 10 inches and same height = 12 inches

Need to find the relationship between volume of cylinder and cone.

Let’s calculate volume of each object separately first.

Calculation of volume of cylinder :

Formula of volume of cylinder is given as:

Where π=3.14

height h = 12 inches  

On substituting given values in formula of cylinder we get

Calculation of volume of cone:

Formula of volume of cone is given as:

Here π=3.14

On substituting given values in formula of cone we get

On comparing the two volumes we get  

Hence can conclude that Volume of cylinder is 3 times of volume of cone having same base diameter and same height.

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.