Standardized Test Practice
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Recall the formulas for the volume of a cylinder and of a cube.
About 45 cans.
To answer how many cans are needed to fill an aquarium, we first need to find the volumes of both figures. After that, we will divide the volume of the cube by the volume of the cylinder to find the necessary number of cans. Let's start!
Let's begin with recalling the formula for the volume of a cylinder.
V=π r^2 h
In this formula, r is the radius of the base and h is the height of the given cylinder. In our exercise the radius equals 2in. and the height is 6in. By substituting these values into the formula we can find the volume of the given cylinder.
The volume of this cylindrical can equals 75.4 in^3.
First, let's recall the formula for the volume of a cube. V= a^3 In this formula a is the dimension of the cube. For our exercise, this dimension equals 15 in. Let's substitute this value into the above formula to find the volume of the given cube.
The volume of the aquarium is equal to 3375 in^3.
With these two volumes we are able to answer the question. To do this, we need do divide the volume of the cube by the volume of the cylinder. Volume of the aquarium/Volume of the can=3375/75.4≈ 45 Therefore, it will take about 45 cans to fill the aquarium.