Concept explainers
a.
Toinvestigate : Right and oblique cylinders.
a.
Explanation of Solution
Given information : To draw right cylinder and oblique cylinder with a height of
Graph :
Fig. 1: Right Cylinder
Fig. 2: Oblique Cylinder
Interpretation : The sides of the oblique cylinder are not perpendicular to the base. While the sides of the right cylinder are perpendicular to the base.
b.
Tofind: If the volume of the square prism is less than, greater than, or equal to the volume of the cylinder.
b.
Explanation of Solution
Given information : Square prism with a height of
Formula used : The volume of the square prism is
Calculation : Calculate the volume of each shape.
Interpretation : The volume of the square prism is greater than the volume of the cylinder.
c.
To explain: the change which affects the volume of the cylinder more: multiplying the height by x or multiplying the radius by x .
c.
Explanation of Solution
The volume of a cylinder is
If we multiply by height by x , the volume becomes
And, if we multiply the radius by x, the volume becomes
We can see
So, the volume of the cylinder will be more, if we multiply the radius by x .
Chapter 12 Solutions
Geometry, Student Edition
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