Unit 5: Sequences & Volume Jeopardy

Cylinder Volume

100

What is the volume of a cylinder with:

Radius = 7 inches

Height = 3 inches

(Round your answer to the nearest tenth)

461.8 inches³

200

What is the volume of the cylinder with:

Radius = 12 feet

Height = 2 feet

(Round your answer to the nearest tenth)

904.8 feet³

300

What is the volume of a pipe that is 8 cm across and 12 cm tall? (Round your answer to the nearest tenth)

603.9 cm³

400

What is the volume of a bean can that is 6 meters across and 10 meters high? (Round your answer to the nearest tenth)

282.7 meters³

500

A cup that is 4 inches across and 8 inches tall is filled halfway full with water. What is the volume of the water? (Round your answer to the nearest tenth)

100.5 inches³

Cone Volume

100

What is the volume of the cone with:

Radius = 6 units

Height = 9 units

(Round your answer to the nearest tenth)

339 units³

200

What is the volume of the cone with:

Radius = 60 mm 

Height = 2 mm

(Round your answer to the nearest tenth)

7539.7 mm³

300

A snow cone is 9 cm across and 18 cm tall. What is the volume of the snow cone? (Round your answer to the nearest tenth)

1526.8 cm³

400

A funnel is 18 inches across and 12 inches tall. What is the volume of the funnel? (Round your answer to the nearest tenth)

1017.9 in³

500

An ice cream cone is 8 cm across and 14 cm tall. It was left in the sun, and 1/3 of the ice cream melted. What volume of ice cream is left? (Round your answer to the nearest tenth)

234.6 cm³

Sphere Volume

100

Find the volume of the sphere with:

Radius = 9

(Round your answer to the nearest tenth)

3053.6 units³

200

Find the volume of the sphere with:

Radius = 3

(Round your answer to the nearest tenth)

113.1 units³

300

A tennis ball measuring 5 inches across has what volume? (Round your answer to the nearest tenth)

523.6 inches³

400

An exercise ball measuring 2.3 feet across has what volume of air? (Round your answer to the nearest tenth if necessary)

51 ft³

500

A basketball measuring 6 inches across is cut in half. What is the volume? (Round your answer to the nearest tenth)

113.1 in³

Volume Misc.

100

What is the definition of "Volume"

The amount of space something takes up

200

When calculating volume, what does the "r" stand for?

radius

300

If given the diameter of a circle, how do you find the radius?

Divide the diameter in half

400

What shape is this equation represent 4/3 * r³ * π

Sphere

500

Find the volume of a sphere topped by a cone with a radius of 5 and a height of 14. This is a bonus question worth 500 points!

241.7 units³

Vocabulary / Fill in the Blank

100

A set of numbers in a specific order

What is a sequence?

200

When you add or subtract the same number each time to a sequence of numbers

What is arithmetic?

300

When you multiply or divide the same number each time to a sequence of numbers

What is geometric?

400

Measurement of the size of a flat-surfaced shape in a plane (2D)

What is area?

500

The equation that shows the pattern of a sequence

What is a general term of a sequence?

Sequences

100

What is the first term of the sequence below?

4, 7, 10, 13, 16, . . . 

What is 4?

200

Find the missing term of the sequence below:

3, 10, 17, __, 31, . . . 

What is 24?

300

Find the common ratio or common difference of the sequence below and find the value.

5, 10, 50, 250, . . .

Common ratio = 5

400

Identify if the sequence below is geometric or arithmetic and find the common ratio/difference.

2, 1, 1/2, 1/4, 1/8, 1/16, . . .

Geometric; r = 1/2

500

Find the general term of the sequence below:

40, 80, 160, 320, . . . 

a_n = 2n + 20