Unit 5, Lesson 1
Solids of Rotation
Geometry
Practice
Problem 1
Sketch the solid of rotation formed by rotating the given two-dimensional figure using the horizontal line shown as an axis of rotation.
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Sketch the solid of rotation formed by rotating the given two-dimensional figure using the horizontal line shown as an axis of rotation.
Draw a two-dimensional figure that could be rotated using a vertical axis of rotation to give the barrel shown.
Match the two-dimensional figure and axis of rotation with the solid of rotation that can be formed by rotating the figure, using that axis.
a cylinder
a sphere
a cone
Find the area of the shaded region.
Technology required. Find the area of the figure.
Technology required. This stop sign is a regular octagon. It has side lengths of 12 inches. What is the area? What is the perimeter?
Right triangle \(ABC\) is shown.
Select all expressions that are equal to the length of side \(BC\).
\(\sqrt{4.9^2+6^2}\)
\(\sqrt{6^2-4.9^2}\)
\(4.9\sin(55)\)
\(\frac{4.9}{\sin(55)}\)
\(4.9\tan(55)\)
\(\frac{4.9}{\tan(55)}\)
\(6\cos(55)\)
\(\frac{6}{\cos(55)}\)