1. For each circle C, find the value of x. Assume that segments that appear to be tangent are. (4 pts each) 1. 2. 3. C 8 x 12 x

2. Area of Triangles, Squares, Rectangles, Trapezoids, & Circles Formulas

3. Volume Formula for Prisms & Cylinders V = Bh

4. B = area of the BASE h = HEIGHT Volume of a Prism V = 12 in 3 4 in 3 in 2 in

5. Volume of a Cylinder 7 cm 5 cm V = 769.7 cm 3 Round to the nearest tenth.

6. You try! Find the volume. A cylinder has a radius of 5 cm and a height of 8 cm. Sketch the cylinder and label its dimensions, then find the volume. State your answer both in terms of π and as a decimal rounded to the nearest hundredth.

7. Try Another! A cube has a volume of 343 cubic meters. What is the length of a side of the cube? x x x

8. Volume Formula for Cones & Pyramids

9. 8 ft 12 ft 10 ft Find the volume.

10. 2 cm 3 cm What is the volume of this cone? Round to the nearest tenth. 3.6 cm

11. If you cut a sphere right down the middle you would create two congruent halves called HEMISPHERES. You can think of the globe. The equator cuts the earth into the northern and southern hemisphere.

12. Look at the cross section formed when you cut a sphere in half. What shape is it? A circle!!! This is called the GREAT CIRCLE of the sphere.

13. Formulas for a Sphere

14. 8 in Surface Area of a Sphere (round to the nearest hundredths)

15. 25 in The circumference of a great circle of a sphere is 25 inches. Find the surface area of the sphere. (Round to the nearest tenths.)

17. 2 cm Volume of a Sphere (round to the nearest hundredths)

18. 10 cm Volume of a Sphere (round to the nearest hundredths)

19. 25 in The circumference of a great circle of a sphere is 25 inches. Find the volume of the sphere. (Round to the nearest hundredths.)

20. 5 in Volume of a Sphere A spherical balloon has an initial radius of 5 in. When more air is added, the radius becomes 10 in. Explain how the volume changes as the radius changes. 10 in

21. 5 in Volume of a Sphere A sphere has an initial volume of 400 cm. 3 The sphere is made bigger by making the radius 4 times as big. What is the new volume of the sphere? 10 in

22. 16 cm. Volume of a Sphere A sphere is inscribed in a cube-shaped box as pictured below. To the nearest centimeter, what is the volume of the empty space in the box? 10 in

23. Homework Practice Worksheet #29 find volume only