Volume of Cylinders and Cones
A cylinder has a radius of 3cm and a height of 5cm. What is its volume?
141.3 cm^3
What is the rate of change of a line that passes through the points (0, 2) and (4, 10)?
2
A right triangle has legs of length 6 and 8. Find the hypotenuse.
10
Does the relation {(1, 2), (2, 3), (3, 4)} represent a function?
Yes
Write 4,500,000 in scientific notation.
4.5×10^6
Find the volume of a cone with a radius of 4 m and a height of 6 m.
100.48 m^3
Write the equation of a line with a slope of 3 and a y - intercept of -5.
y = 3x - 5
A ladder is 13 ft long and reaches 5 ft up a wall. How far is the base from the wall?
12 ft
Does the relation {(4, 6), (4, 8), (5, 9)} represent a function? Why or why not?
No, there are two y values for one x value
Find the surface area of a cube with side length 6 cm.
216cm^2
A cylinder has a diameter of 10in and a height of 7in. What is the volume of the cylinder?
549.5 inches cubed
A line has a rate of change of –2 and passes through (–3, 1). Write the equation of the line.
y = -2x - 5
Find the distance between the points (1, 2) and (5, 2).
4
A vending machine input is the code and output is the specific item. Is this a function? Explain.
Yes. One input has only one output
Two angles of a triangle measure 48° and 72°. Find the third angle.
60*
A cone and a cylinder have the same radius and height. How does the volume of the cone compare to the volume of the cylinder?
The cone is 1/3rd the volume of the cylinder
The cost of renting a bike is $8 plus $4 per hour. Write an equation to represent the total cost.
y = 4x + 8
Find the distance between the points (–2, 3) and (4, –3).
8.485
The relation is shown below:
x: 1, 2, 3, 4
y: 5, 5, 7, 5
Is this a function? Explain.
Yes. Each x value only has one y value
Write 3.2×10^4 in standard form.
32,000
The volume of a cylinder is 452.16 cubic units and the height is 9 units. What is the radius?
4 units
A line passes through (2, 7) and (6, 19). What is the equation of the line?
y = 3x + 1
Is a triangle with side lengths 9, 12, and 15 a right triangle? Explain.
Yes because a^2 + b^2 = c^2
The relation is shown below:
x: 1, 1, 2, 7, 9
y: 2, 3, 7, 5, -3
Is this a function? Explain.
No
Find the surface area of a rectangular prism with dimensions 3 cm, 5 cm, and 8 cm.
158cm^2