Lesson 2 Any Way You Spin It Develop Understanding

Ready

Use the given measures on the triangles to write the indicated trigonometric value. Then find the measure of the indicated angle to the nearest of a degree.

1.

Triangle PQR with PR=10, QR=24, PQ=26, with Angle R the right angle.

2.

Triangle MNO with MO=9, ON=40, and MN=41; Angle O is the right angle

3.

Triangle ABC with AB=8, AC=15, BC=17; Angle A is the right angle

4.

Triangle ABC with AC=6, BC=8, AB=10; Angle C is the right angle.

Set

Rotate each 2-D shape about the -axis. Draw a sketch of the 3-D object that would be formed or name the object.

5.

Yellow wave shape on a graph.

6.

Three semicircles above the x-axis on a graph with a rectangle to the left. xy

7.

Rectangle with curved edge on graph xy

8.

Rectangular shape with bumped out pieces on the x-axis. xy

9.

Name something in the world that would be shaped like the solid of revolution formed if the figure shown were rotated about the -axis.

M shape open towards the left in the first quadrant.

10.

Quadrilateral with point (0,0), (6,0), (0,2), (6,2) x222444666y222000

a.

Name something in your house that would be shaped like the solid of revolution formed, if the figure shown were rotated about the -axis.

b.

Calculate the volume of the shape that has been rotated about the -axis.

Go

Find the volume of the indicated solid.

11.

Green cylinder

12.

right circular cone

a cone

13.

square pyramid

The base is a square.

square pyramid with base sides s and height h

14.

square frustum, where and are the base and top side lengths and is the height.

square frustrum