Question

choose all the cylindrical containers that will hold at least 50 cm³ but not more than 55 cm³ of a liquid

Answer 1

Solution

For this case we can find the volume of each options and verify:

Case I

$V=\pi\cdot(2)^2(4.1)=51.52$

Case II

$V=\pi\cdot(2.2)^2(3.2)=48.66$

Case III

$V=\pi\cdot(2.5)^2(2.7)=53.01$

Case IV

$V=\pi\cdot(2.1)^2(3.8)=52.64$

Then the answer would be:

Case I: radius = 2cm and height = 4.1 cm

Case III: radius = 2.5 cm and height = 2.7 cm

Case IV: radius = 2.1 cm and height = 3.8 cm