Question

Jacob and his mom are developing an at-home science experiment. Part of the science experiment requires Jacob to use a smaller cylinder to fill a larger cylinder multiple times. The small cylinder holds 1 2/3 cups of liquid while the larger cylinder holds 4 1/6 cups of liquid. How many full small cylinders of water are need to completely fill the larger cylinder? Question 5 options: 1 2 3 4

Answer 1

The no. of full small cylinders of water needed to completely fill the larger cylinder are option (3): 3.

Step-by-step explanation:

It is given Jacob uses some no.of small cylinders to fill a large cylinder.

The capacity of the smaller cylinder = 1$\frac{2}{3}$ cups = $\frac{5}{3}$ cups = 1.67 cups

And,

The capacity of the larger cylinder = 4$\frac{1}{6}$ cups = $\frac{25}{6}$ cups = 4.167 cups

Therefore,  

The no. of small cylinder required to fill the large cylinder is given by,

= [Capacity of the large cylinder] / [Capacity of small cylinder]

= [4.167 cups] / [1.67 cups]

= 2.49  

≈ 3 ← Since 0.49 i.e., half of a cylinder cannot be used separately, so Jacob has to use 3 small cylinders to fill the large cylinder completely.

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