A cylinder has a height of 6 meters and a radius of 3 meters. What is its volume? Use ≈ 3.14 and round your answer to the near
1 answer:
Answer:
169.56 m³
Step-by-step explanation:
» <u>Concepts</u>
The volume of a cylinder is how much space there is inside the cylinder. The formula to find the volume is πr²h, where r = radius and h = height. Once you get the volume, you have to add <unit>³.
» <u>Application</u>
We are given the radius as three meters and the height as six meters; we also have to use π as 3.14. Now, we just have to plug in these values into the aforementioned formula.
» <u>Solution</u>
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ANSWER
EXPLANATION
The given product is:
We expand using the distributive property to obtain:
Extract the perfect squares to get:
Expand further to get;
This simplifies to,
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a = , thus
y = (x + 6)² - 1 ← in vertex form
Expand factor and simplify
y = (x² + 12x + 36) - 1 ← distribute
y = x² +
x + 4 - 1
= x² +
x + 3 ← in standard form