PYTHAGOREAN THEOREM
What formula is used to find the missing side of a right triangle?
The Pythagorean Theorem
What is the formula for the volume of a cylinder?
V = πr²h
What is the formula for the volume of a cone?
V = 1/3 πr²h
What is the formula for volume of a sphere?
V = 4/3 πr³
what is 2³?
8
In a right triangle, if a = 3 and b = 4, what is c?
5
What does “r” stand for in the formula?
Radius
How is a cone’s volume related to a cylinder?
It is 1/3 of a cylinder
What does the “³” mean?
Cube the radius
What is 5⁰?
1
What type of triangle uses the Pythagorean Theorem?
A right triangle
Find the volume if r = 3 and h = 5 (use π ≈ 3.14)
About 141.3
Find volume if r = 3, h = 6
About 56.5
If r = 2, what is the volume (approx)?
About 33.5
Multiply: x² · x³
x⁵
If c = 13 and a = 5, what is b?
12
What shape is the base of a cylinder?
A circle
What shape is the base of a cone?
A circle
What shape is a sphere?
A perfectly round 3D shape (like a ball)
Power rule: (x²)³ = ?
x⁶
Solve for c: a = 8, b = 15
17
If the radius doubles, what happens to the volume?
It increases (gets much larger, 4×)
Why is there a 1/3 in the formula?
Because a cone holds 1/3 the volume of a cylinder
If radius doubles, what happens to volume?
It increases by 8 times
What is x⁵ ÷ x²?
x³