Functions and Volumes

Functions Review

100

How many outputs are there for every input?

For every input there is one output

200

Write a function rule for “The output is five less than the input.”

x - 5

300

Write a function rule for “The output is 3 less than 5 times the input.”

5x-3

400

Draw the graph for this scenario:

A stopped subway train gains speed at a constant rate until it reaches its maximum speed. It travels at the speed for a while, then slows down at a constant rate until coming to a stop at the next station. Sketch a graph that represents this situation.

increasing, constant speed, decreasing back to zero

double points if labels

500

Finish the table

18, 30, 8, 10

Cylinders

100

What is the formula to find the volume of a cylinder?

V=pi*r^2*h

200

Find the volume, express π in your answer

2300π ft³

300

Find the volume, express your answer with π

256π yd³

400

Find the height of the cylinder when the volume is 150π and the radius is 5.

6 units

500

Find the radius of the cylinder when the volume is 441π with a height of 9 cm.

7 cm

Cone

100

What is the formula for a volume of a cone?

V=1/3*pi*r^2*h

200

Find the volume, express your answers in terms of π

27π in³

300

Find the volume, use 3.14 = π. Round your answer to the nearest hundredth.

564.15 ft³

400

Find the volume of the cone with a height of 15 in and a diameter of 6 in. Express your answer in terms of π

45π in³

500

Find the radius of the volume with a volume of 33π and a height of 11 km.

3 km

Sphere

100

What is the formula for the volume of a sphere?

4/3*pi*r^3

200

Find the volume, express your answer in terms of π

256/3pi yd^3

300

Find the volume, use 3.14 for π. Round your answer to the nearest hundredth.

2143.57 yd³

400

Find the volume, express your answer in terms of π

972π in³

500

Find the volume, round your answer to the nearest hundredth.

7,234.56 in³

Mix of it all

100

What is the formula to find the area of a circle?

A=pi*r^2

200

What is the formula for finding the volume of a rectangular prism?

V=l*w*h

300

What is the formula for volume of a cube?

V=x^3

400

Based on the graph below is time a function of distance or is distance a function of time. Explain your answer

Distance is a function of time because the distance depends of the amount of time.

500

Knowing that the volume of sphere is 972π find the radius length.

9 units