Answer:
The smallest volume of the container that Jenna should make is 395.64 cm³
Explanation:
Given
Solid Shape: Cylinder
Height = 0.7cm
Diameter = 6 cm.
Number of shapes = 20
Required.
Volume of container to contain all shapes.
First, the volume of one shape needs to be calculated.
The volume of a cylinder is calculated using:
V = πr²h
Where V = volume, r = radius and h = height
From the observation above
h = 0.7 cm
Diameter = 6 cm
Recall that radius = ½Diameter.
So,
r = ½ * 6
r = 3 cm
Substitute these values in the formula above.
V = πr²h becomes
V = 3.14 * 3² * 0.7
V = 3.14 * 9 * 0.7
V = 19.782 cm³
Now that we have the volume of one shape; the volume of a container that'll contains 20 similar shapes is 20 * volume of 1 shape.
In other words,
Volume of container = 20 * 19.782 cm³
Volume = 395.64 cm³
The smallest volume of the container that Jenna should make is 395.64 cm³