Geometry Test 30 Show Work. 1) The scale factor of ∆ ABC to ∆ DEF is 2: 3. Area of ∆ ABC = 5x + 1, Area of ∆ DEF = 9x + 9, find x.

Find the surface area of the following.

S = 2B + Ph S = 2π r2 + 2 π rh S = B + 1/2 PL S = π r2 + π rL

2) 3) 8 4) 5) 10

12 12

12 10

12

Find the volumes.

V = Bh V = π r2h V = 1/3 Bh V = 1/3 π r2h

6) 7) 8) 9) 4

5 16

3

Find the surface area & volume of the sphere.

S = 4 π r2 V = 4/3 π r3

10)

10 - 11) Find the radius and surface area if the volume of a sphere is 972π.

Find the surface area & volume.

12 - 15) 16 - 19)

Find the volume of the unshaded solid.

20 - 21)

22 - 23) Find the surface area and volume of a similar cylinder knowing the scale factor is 1:3. This is the smaller cylinder.

2

5

24) The scale factor of the radius of a softball to a basketball is approximately 2 to 5. The volume of the softball is approximately 33.51 cubic inches. What is the approximate volume of the basketball?

Complete the statement with the word always, sometimes or never.

25) Two spheres are _______similar. 25a) A prism is ______ similar to a pyramid.