Volume of a cone=(1/3)πr²h
Volume of a cylinder=πr²h
The cone has the same radius (r) and height than the cylinder that the cone fits exactly inside of.
Data:
Volume of a cone=5 in³
Then:
(1/3)πr²h=5 in³
πr²h=3(5 in³)
πr²h=15 in³ (remember: volume of a cylinder=πr²h)
Then the volume of a cylinder that the cone fits exactly inside of would be:
15 in³
Answer:
4860 in ^3
Step-by-step explanation:
First we find the volume of the tank
V = l*w*h
V = 30*12*15
V = 5400 in ^3
It is 90% full so we multiply by 90 %
5400 * 90%
5400 * .90
4860 in ^3
Answer:
Step-by-step explanation:
Given
Required
Convert to base 10
To do this, we make use of the following logarithm laws;
In the given parameters;
Substitute these values in
Represent as a ratio
Hence;
is represented as
Answer:
x = 55
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
x/5 - 1 = 10
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 1 to both sides: x/5 = 11
- Multiply 5 on both sides: x = 55
