Volume of cyclinders: Find volume, given ratio of height and radius

[richiegas1979]

Hi can anyone explain and answer these questions for me? Thanks a lot




[FONT=&quot]The height and the radius of the family size tin are each 1.2 times the height and radius of the standard size tin.
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[FONT=&quot](a)[/FONT]
[FONT=&quot]The volume of the standard size tin is 400 ml.
Calculate the volume of a family size tin.


The height of the giant size tin is 1.2 times the height of the family size tin. The radius of the giant size tin is 1.5 times the radius of the family size tin.

(b)
Calculate the volume of the giant size tin.

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[HallsofIvy]

Hi can anyone explain and answer these questions for me? Thanks a lot


View attachment 7788

[FONT=&quot]The height and the radius of the family size tin are each 1.2 times the height and radius of the standard size tin.
[/FONT]
[FONT=&quot](a)[/FONT]
[FONT=&quot]The volume of the standard size tin is 400 ml.
Calculate the volume of a family size tin.

Call the height and radius of the standard size tin "h" and "r" respectively. What is the formula for the volume of a cylinder in terms of h and r? Now multiply each of h and r by 1.2 and use that same formula with these h and r. What do you get?

The height of the giant size tin is 1.2 times the height of the family size tin. The radius of the giant size tin is 1.5 times the radius of the family size tin.

(b)
Calculate the volume of the giant size tin.

Multiply the h and r of the family size tin by 1.2. That is the same as multiplying h and r of the standard tin by 1.2(1.2)= 1.44.