Which choices are equilvalent to the expression below? Check all that apply. 9^3 x 9^4
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Volume of cylinder is 3 times of volume of cone having same base diameter and same height.
<u>Solution:</u>
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.
<em><u>Calculation of volume of cylinder :</u></em>
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
<em><u>Calculation of volume of cone:</u></em>
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.