Volume equations
A cone has a diameter of 12 centimeters and a height of 9 centimeters. What is its volume? (Use π≈3.14)
Answer: The volume of the cone is approximately 339.12 cubic centimeters.
Solve for x: 2x+7=15
x=4
Find the slope of the line that passes through the points (2,3) and (5,9).
Answer: The slope of the line is 2.
Evaluate: (3.2×104)+(5.7×104)
8.9×104
What is the volume of a sphere with a radius of 6 inches? (Use π≈3.14)
The volume of the sphere is approximately 904.32 cubic inches.
Solve for y
5y−3=2y+9
y=4
What is the slope of the line represented by the equation y=−3x+7?
Answer: The slope of the line is -3.
(9.5×106)−(2.8×105)
9.22×106
A cylindrical storage tank has a volume of 785 cubic feet and a height of 10 feet. What is the radius of the base of the tank? (Use π≈3.14)
The radius of the base of the tank is 5 feet.
Solve for a 3(a−2)=a+10
a=8
What is the slope of the line represented by the equation 2x+4y=8?
Answer: The slope of the line is -1/2.
(4.1×103)×(2.5×102)
1.025×106
A right pyramid has a square base with side lengths of 7 meters. If the volume of the pyramid is 147 cubic meters, what is its height?
The height of the pyramid is 9 meters.
Solve for m
1/2m+3=7
m=8
What is the slope of the line that passes through the points (−1,4) and (3,4)?
Answer: The slope of the line is 0. (Horizontal lines always have a slope of 0).
Evaluate: 7.5x108/1.5x103
Answer: 5×105
A company is deciding whether to package a new product in a cylindrical container with a radius of 4 cm and a height of 5 cm, or in a rectangular prism container with dimensions 6 cm by 6 cm by 3 cm. Which container will hold more volume? By how much? (Use π≈3.14)
The cylindrical container will hold more volume by 143.2 cubic centimeters.
solve for K
4(k+1)−2k=3k−5
k=9
What is the slope of the line represented by the equation x=−5?
Answer: The slope of the line is undefined. (Vertical lines always have an undefined slope).
(2×102)×(3×103)+(1.5×105)
7.5×105