equations
What is the equation for the area of a triangle?
Correct Answer: Area = (b × h)/2
Find the circumference of a circle with a radius of 3 inches.
Correct Answer: 18.85 inches
what is the volume of a cube with a base length of 4 inches?
Correct Answer: 64in
If you double the length of all the edges of a cube, then the volume of that cube will also double.
True or False
Correct Answer: False
A sphere is cut in half.
What does the resulting cross section look like?
Correct Answer: Circle
What is the equation for the volume of a sphere?
volume = (4/3) * pi * r³
Air is being empty from a spherical-shaped balloon at the rate of 26 feet per minute. If the radius of the ball is 7 feet, how long would it take for the balloon to empty all the way? Round your answer to the nearest minute.
V ≈ 4/3 · 3.14 · 343
V ≈ 1,436
1,426 / 26
54.8
Correct Answer: 55 min
Find the area of a triangle with a base length of 28 and a height of 17.
Correct Answer: 238
What is a parallelogram.
a parallelogram is a simple quadrilateral with two pairs of parallel sides.
A cylinder is layed on its side _ then cut in half.
What is the resulting shape?
Correct Answer: Circle
(1/2) · (a + b) · h
This equation is the area for what shape?
Trapezoid
What is the volume of a sphere with a radius of 6 inches?
correct answer: 904.8in^2
Find the area of a trapezoid with the following coordinates
point A- (5,1)
point B- (8,1)
point C- (10, -4)
point D- (2, -4)
Correct answer: Area=27.5
If you double the radius of a sphere, then the volume of the new sphere will be 8 times larger.
True or False
Correct Answer: True
A can of soda is 2.4 inches tall and 1.25 inches in diameter.
What 2-dimensional shape would be formed by a vertical cross section of the can?
Correct answer: Rectangle
What's the equation for the Volume of a cylinder?
Volume = pi × r2 x h
The height and diameter of a cone-shaped storage tank are 9 feet (h) and 14 (d) feet respectively. Find the volume of liquid the tank can hold. Use the approximate of value of π, that is 3.14.
V ≈ 1/3 · 3.14 · 72 · 9
V ≈ 462
A woman plants a new tree and attaches a support wire to help support the tree while its roots take root. An eight foot wire is attached to the tree and to a stake in the ground. From the stake in the ground the angle of elevation of the connection with the tree is 42º. Find to the nearest tenth of a foot, the height of the connection point on the tree.
• This problem deals with "opposite" and "hypotenuse" making it a sine problem.
sin(42)= x/8
0r
x=5.4
what is an angle bisector?
An angle bisector is a line or ray that divides an angle into two congruent angles.
if you cut a cone in half vertically what is the resulting crossection?
Correct answer: Triangle
What's the equation for the Volume of a cone?
Volume = 1/3pi × r2 x h
A silo is shaped like a cone and contains wheat. The radius is 10 feet and the height is 15 feet. If the silo can release wheat from its bottom at the rate of 25 cubic feet per minute, how long would it take for the silo to empty fully ? Round your answer to the nearest minute. Use the approximate of value of pi, that is 3.14.
Correct Answer: 63 minutes
Find the Volume of a trapezoid with the following coordinates by rotating it around the Y-axis
point A- (5,1)
point B- (8,1)
point C- (10, -4)
point D- (2, -4)
Area of a cone- Volume = 1/3pi × r2 x h
Answer: V = 117.28
explanation-
you would find the whole cone by continuing the outer lines up into the center.
then you would find the volume "big cone" and subtract it from the entire cone to find your answer
When do you use Sin,cos, or tan
If the opposite and hypotenuse are being used, use sine for the calculations. If the adjacent and hypotenuse are used, use cosine. If the opposite and adjacent are being used, use tangent. You can remember this using the acronym SOH CAH TOA.
If you cut a trapezoid horizontally what is the resulting shape.
Correct Answer= Rectangle