Volume of Cylinders, Cones, and Spheres
What is the volume of a cylinder with a radius of 6yd and height of 11yd? Use 3.14 for pi. Round to the nearest tenth.
1244.1 cubic yards
What is the slope of the graph containing the points (5,7) and (3,6)?
m=1/2
Use the Pythagorean Theorem to find the missing side for a right triangle with a=10 and c=15. Round to the nearest tenth.
b=11.2
What variable represents y-intercept?
b
Simplify the expression 5+2(3x+1)
6x+7
What is the volume of cone with a diameter of 7 inches and height of 9 inches. Use 3.14 for pi. Round to the nearest tenth.
115.5 cubic inches
What is the equation for a linear graph with a slope of 1/4 and y-intercept of -6?
y=1/4x-6
Use the Pythagorean Theorem to find the missing hypotenuse for the triangle whose legs are 5 and 12.
c=13
To find the slope of a line, you use ____ over _____.
rise over run
Solve for k.
-21=7(5k-8)
k=1
What is the volume of a sphere with a diameter of 7.5 inches? Use 3.14 for pi. Round to the nearest tenth.
220.9 cubic inches
What is the slope given the two points (0,10) and (5,-5)?
m=-3
Is the triangle formed with side lengths 6,10, and 13 a right triangle? Explain why or why not.
No because 136 does not equal 169.
A number that can be written as a fraction is called?
rational number
Solve for n.
2(n+5)=4
n==3
A cylinder has a volume of 4,537.3 in3 and a height of 5 in. What is the radius? Use 3.14 for pi.
17 inches
If Josh pays $15 to sign up for his local gym and gets charged $10 per month, how much will he owe the gym after 5 months?
$65
A 13 foot ladder is placed 5 feet away from a wall. How many feet up the wall will the ladder reach?
12 feet
True of false: The interior angles of a triangle equals 190 degrees
False
Solve for x.
5n-2=8n-14
n=4
You have a cone with a radius of 4 m and a volume of 184.3 m3. What is the height? Use 3.14 for pi. Round your answer to nearest whole number.
11 m
A cell phone plan has a fixed fee of $22 per month and charges $0.18 per minute. If a total bill of $46.38 was incurred, how many minutes were used?
135 minutes
Kylie walks away from her house. She walks 25m west then 15m south. How far is she from the house? Round to the nearest tenth
29.2 meters
A point on a scatterplot that is far away from the from the other points is called an __________.
Outlier
Solve for n.
6(6n-2)=8n-40
n=-1