Geometry/Trig 2 Name __________________________Unit 10 Review Packet Date _______________ Block ______

1) Find the Volume. 2) Find the Lateral Area.

5) Find the Total Area and Volume.

3) Find the Volume. 4) Find the Total Area.

4m

6m

20in.

30in.

7cm

11cm

9cm

12ft

5ft8mm 8mm

8mm

13mm

Leave your answers in simplified radical form and/or π form.

9) A spherical fishbowl has diameter 24cm. To fill the fishbowl three-fourths full, about how many liters of water will you need, assuming 1000cm³ = 1L. Use π = 3.14 and round to the nearest tenth.

7) Popcorn is sold in a cardboard cylinder with radius 8cm and height 6cm. If the same amount of popcorn is to be sold in a cone with radius 6cm, what should be the height of the cone?

10)A water storage tank consists of a cylinder capped with a hemisphere. Find the volume of the tank. Use π = 3.14.

8) Wrapping paper is to be glued to the cylinder to the right, so that the cylinder is completely covered, including the bases. Find the amount of paper needed, rounded to the nearest inch. Use π = 3.14.

6) A cylinder has a volume of 1728π. If the height = radius, find the total area. Leave your answer in π form.

Geometry/Trig 2Unit 10 Review Packet

C50ft.

30ft

C 3in.

6in.

Solve each word problem. Leave your answers in the specified form.

12)Two foam plastic balls have a scale factor 2:3.a) If the smaller ball has a radius 6cm, what is the radius of the larger ball?

b) If the area of the larger ball is 36π cm², what is the area of the smaller ball?

c) If the larger ball weighs 12g, about how much does the smaller ball weigh?

11)Below is a drinking trough for horses. Find the volume of the trough. Then, determine how much water will fill the trough if 1cm³ = 0.001L.

13) In 2003, the largest glass of orange juice every was 6ft tall and held 680 gallons.a)Find the volume (to the nearest cubic foot) if 1 cubic foot = 7.5 gallons.

b)Find the radius, to the nearest inch, of that glass.

c) A different glass has a height of 4 inches and a radius of 1.6 inches. How many of these glasses would it take to fill up the original glass?

Geometry/Trig 2Unit 10 Review Packet

100cm

40cm

40cm

3m

Solve each word problem. Leave your answers in the specified form.