Name: _______________________________________
Class Prd: __________
REVIEW: Unit 9 Test
____
____
1. Which equation could be used to find the volume of the cone below?
A
1
π (7.5 2 )(6)
3
C
1
π (3.75 2 )(6)
3
B
π (3.75 2 )(6)
D
π (7.5 2 )(6)
2. Which of the following would explain how to find the surface area of a rectangular box
with no lid?
F
Find the lateral surface area and subtract the area of a rectangle.
G
Find the total surface area and subtract the area of one rectangle.
H
Find the lateral surface area and add twice the area of the rectangle.
J
Find the lateral surface area and multiply by the area of the rectangle.
3. A cone has a volume of 425 cubic inches. The radius of the cone is 9 inches. What is
the approximate height of the cone?
.
1
Name: ____________________________________
4. Bailey is painting a playhouse constructed from a rectangular prism and a triangular
prism as shown. If she plans to paint the outside of the figure, but not the floor or
ceiling, what is the area that she will cover?
.
5. A soccer ball has a diameter of 9.6 inches. How much air would be needed to fill 3
similar soccer balls?
.
6. Find the total surface area of the cylinder below.
2
Name: ____________________________________
7. Find the lateral surface area of the square pyramid below.
.
8. Anderson is wrapping paper around the sides of a tube to decorate it for a school
project. If the tube is 18 inches long and has a diameter of 2.5 inches, approximately
how much paper will he need? If the paper costs $0.04 per square inch, how much will
it cost him to cover the sides?
.
9. A spherical balloon with a diameter of 12 inches is deflated. If it loses 1 of its air,
3
what is the new volume?
3
Name: ____________________________________
10. What is the lateral surface area of the triangle below?
11. A hemisphere has a diameter of 9 feet. A cylinder has a diameter of 9 feet and a
height of 2 feet. Which has a greater volume? How many more cubic feet does that
figure hold?
.
12. A cylindrical shaped pool has a diameter of 12 feet. The pool is 5 feet deep but is filled with
water 6 inches from the top. How much water is in the pool?
4