8th Honors
Name:
Chapters 13-14 Review
Period:
Identify the base(s) and exponent(s). Then, write each in expanded notation. Finally, evaluate
the power to calculate the product.
1.
2.
3.
Determine the volume of the cylinder. Use 3.14 for .
4.
Determine the volume of the cone. Use 3.14 for .
5.
Under the rules of the United States Golf Association, the volume of a golf ball cannot be less
than 2.48 cubic inches.
a.
Calculate the radius of this golf ball.
b.
Calculate the circumference of this golf ball.
6.
A small waffle cone has a height of 6 inches and a diameter of 2.5 inches. Two scoops of
sorbet are placed on the wide end of the cone. The scoops are spheres with a diameter of 2.5 inches.
If all the sorbet melts into the cone, will the cone overflow?
Write each as a power.
7.
8.
Simplify each expression.
9.
10.
11.
Rewrite the power so that the exponent is positive.
12.
13.
Rewrite the given expression as a power without a negative exponent. Then, determine the value
of the expression.
14.
15.
Write each number in either scientific notation or standard notation.
16.
The diameter of Mercury is 4879 kilometers.
17.
The distance from Saturn to the Sun at its closest point is about
18.
The diameter of a platelet is about
miles.
meter.
Simplify each using the properties of powers.
19.
20.
Simplify each expression.
21.
24.
28.
22.
25.
23.
26.
29.
27.
30.
31.
What is the formula for the volume of a cylinder? Define each variable.
32.
A cylindrical flower vase has a height of 8 inches and a diameter of 4 inches. What is the
volume of the vase? Use 3.14 for pi.
33.
Who is correct? Explain your answer.
Juan claims that
. Becca claims that
.
Identify the radius, diameter and height.
34.
35.
36.
What is the formula for the volume of a cone? Define each variable.
37.
Ted’s office has a water cooler with cone-shaped cups.
a.
Each cup has a diameter of 3 inches and a height of 4 inches. What is the volume of one cone-
shaped cup? Use 3.14 for pi.
b.
Anita’s office has a water cooler with cylindrical-shaped cups that have the same diameter and
height as the cone-shaped cups in Ted’s office. How does the volume of the cylindrical-shaped cups
compare to the volume of the cone-shaped cups? Explain your reasoning. Then, find the volume of a
cylindrical-shaped cup.
38.
Spherical-shaped exercise balls come in three sizes.
a.
The smallest exercise ball has a diameter of 55 centimeters. Calculate the volume of the
smallest ball. Use 3.14 for pi.
b.
The largest exercise ball has a volume of approximately 220,781.25 cubic centimeters.
Calculate the approximate radius of the largest exercise ball. Use 3.14 for pi.
c.
Calculate the approximate circumference of the largest exercise ball. Use 3.14 for pi.
39.
A cone has a radius of 6 inches and a height of 9 inches.
a.
Calculate the volume of the cone. Use 3.14 for pi.
b.
Calculate a possible radius and height of a cylinder that has the same volume as the cone.
c.
If the radius of the cylinder is the same as the radius of the cone, what is the height of the
cylinder?
Write each number in either scientific notation or standard notation.
40.
The distance of the Sun from the center of the Milky Way galaxy is 26,000 light years.
41.
The least distance of the dwarf planet Makemake from the Sun is
42.
There are about 1 trillion cells in the human body.
43.
The diameter of a bacterial cell called a mycoplasma is about
km.
meter.
Calculate each product. Express the product in scientific notation.
44.
45.
46.
47.
Simplify each expression using the properties of powers. Express your answers using only
positive exponents.
48.
49.
50.
51.