Volume

Cylinders

100

What is the radius of a cylinder with a diameter of 36

18

200

What is the volume of the cylinder with a radius of 3cm and a height of 12cm. 

339cm³

300

A can of tomato juice has a diameter of 14in and a height of 20in. What is the volume?

3,077.2 in³

400

What is the total volume of Diet Coke in a six pack? Each can is 5 inches tall and has a diameter of 3 inches. 

211.95 in³

500

The volume of the cylinder is 235.5mm³. The height of the cylinder is 3 mm. What is the radius?

5

Cones

100

Sarah wants to melt chocolate and pour it into a cone shaped mold with a radius of 3 cm and height of 9cm. What is the volume of the cone?

84cm³

200

It is snowing and salt trucks are dumping a mixture to help. When the mixture is dumped from the truck, it forms a mound with a conical shape. If the mound has a diameter of 15 feet and a height of 10 feet, how much salt-sand mixture is there?

588.75 ft³

300

An ice cream cone has a diameter of 3 inches and a height of 6 inches. How much ice cream can just the cone hold?

14.13 inches³

400

A party hat has a volume of 75π cubic inches. If the radius is 5 inches, what is the height of the party hat?

9 inches

500

Find the volume of the cone to the nearest tenth with a diameter of 2 ft and a height of 8 ft. 

8.4 ft³

Spheres

100

What is the volume of this sphere, with a radius of 4 inches, to the nearest tenth?

267.9in³

200

The diameter of the beach ball is 3 feet. What is the volume of the beach ball?

14.13ft³

300

A distant moon's radius is 6km. What is the moon's volume?

904.32km³

400

A basketball has a volume of 288π in³. What is the length of the radius?

6 inches

500

Find the volume of the hemisphere to the nearest tenth with a radius of 9 inches. 

1,526.0 in³

Mixed Review

100

Kim has an ice cream cone that is 6 inches tall with a scoop of ice cream. The cone is completely filled with ice cream and has a hemisphere of ice cream on top. How much ice cream does Kim have in cubic inches?

113.04 in³

200

Write 1,209,000 in scientific notation.

1.209 x 10⁶

300

A ladder is leaning against the building. The bottom of the ladder is 4 ft from the building. The top of the ladder reaches 10 ft up the building. What is the length of the ladder?

9.2 ft

400

Write 1.009 x 10^-5 in standard form.

0.00001009

500

Which length is the hypotenuse? 

16, 20, 10

20

Mixed Review

100

Order the following numbers in descending order:

π + 1

√17

2 + √10

4.14444

2 + √10

4.14444

π + 1

√17

200

Where do we classify non-terminating and non-repeating decimals?

Irrational

300

Solve for x in the following equation. 

5x + 2 = 3x - 10

x = -6

400

Where do we classify 1.875?

rational 

500

Luke Bryan currently has 130 Instagram followers but is losing them at a rate of 3 followers each day. Kenny Chesney just started his Instagram account and has zero followers but is gaining 5 followers each day. After how many days will they have the same amount of Instagram followers?

130 - 3x = 5x