The volume 
of a cone with base radius 
and height 
is
Similarly, the volume 
of a sphere with radius 
is
We know that 
and that 
So, we can set up the following equation:
We can simplify the common denominator 3, and pi appearing on both sides:
We can divide both sides by 4:
Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
Answer:
4ab
Step-by-step explanation:
(a+b)^2-(a-b)^2
=a^2 + 2ab + b^2 -(a^2 - 2ab +b^2)
=a^2 + 2ab + b^2 - a^2 + 2ab - b^2
=2ab + 2ab
=4ab
Answer:
f(-5) = 35
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² + 10
f(-5) is x = -5
<u>Step 2: Evaluate</u>
- Substitute: f(-5) = (-5)² + 10
- Exponents: f(-5) = 25 + 10
- Add: f(-5) = 35
