Inputs & Outputs
Increasing, Decreasing, Staying the Same
Identify the Formula
Finding the Volume
100

y = x -10, What is y when x is 15?

y = 5

100

Look at the graph on slide 10. Is the pink section of the graph increasing, decreasing, or staying the same?

increasing

100

2 times the radius equals the _______.

diameter

100

Find the volume of a cylinder when the radius is 10cm.

V=3,769.9 cm3

200

If the function is to multiply by 4 and the input is 16, what is the output?

64

200

Look at the graph on slide 10. Is the green section of the graph increasing, decreasing, or staying the same?

staying the same

200

The diameter divided by 2 equals the _________.

radius

200

Find the volume of a cone when the radius is 6 in. 

V = 414.7in3

300

y = x -5, What is y when x is 15?

y = 10

300

Look at the graph on slide 10. Is the blue section of the graph increasing, decreasing, or staying the same?

decreasing

300

Is this formula: Volume = pir2h

for finding the volume of a cone, cylinder, or sphere?

The volume of a cylinder.

300

A cylinder has a volume of 78 Cm .

What is the volume of a cone with the same radius
and height? (Hint: how many cones does it take to fill a cylinder?)

26 cm3

400

When you input 15 does this function have an output of 10, meaning that the (x,y) point (15,10) is a point of the function?

y = x - 10  

y = 5; no

400

Looking at the table and graph on slide 12. True or False: The initial value is 40 gallons of water.

False, it's 30 gallons of water.

400

Is this formula: Volume = 1/3pir2h

for finding the volume of a cone, cylinder, or sphere?

The volume of the cone.

400

What is the volume of a sphere with a radius of 3 ft and a height of 7ft?

V = 263.89 ft3

500

When you input 15 does this function have an output of 10, meaning that the (x,y) point (15,10) is a point of the function?

y = x - 5

y = 10; yes

500

Looking at the table and graph on slide 12. True or False: The water tank is filling up. (INCREASING)

False

500

Is this formula: Volume = 4/3pir3h

for finding the volume of a cone, cylinder, or sphere?

The volume of a sphere.

500

A cylinder has a volume of 36cm3.

What is the volume of a cone with the same radius and height?

Hint: A cone is 1/3 of a cylinder.

Volume - 12 cm3