The radii and the heights of the two cylinders are
- Cylinder 1: Height = 6 and Radius = 5
- Cylinder 2: Height = 10 and Radius = 3.87
<h3>How to determine the combinations of radius and height?</h3>
The volume of a cylinder is
V = πr²h
When the volumes of two cylinders are almost equal, then it means that:
V1 ≈ V2
This gives
πr²h ≈ πR²H
Divide both sides by π
r²h ≈ R²H
Assume that r = 5 and h = 6
So, we have:
5² * 6 ≈ R²H
Evaluate the product
150 ≈ R²H
Assume H = 10
So, we have:
150 ≈ R² * 10
Divide by 10
R² ≈ 15
Take the square root of both sides
R ≈ 3.87
Hence, the radii and the heights of the two cylinders are
<u>Cylinder 1</u>
Height = 6 and Radius = 5
<u>Cylinder 2</u>
Height = 10 and Radius = 3.87
Read more about cylinder volume at:
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Answer:12x3+12x10
Step-by-step explanation:
distribute the 12 to both terms
Answer:
the answer would be -20
Step-by-step explanation:
Answer: m∠
Step-by-step explanation:
1. By definition, the adjacent angles of a parallelogram are supplementary, they add up 180 degrees. Therefore, in the given parallelogram:
2. Then, you must solve for x, as following:
3. Substitute the value of x obtained into to calculate the angle M:
Then:
m∠
4. By definition the opposite angles of a parallelogram are equal, therefore:
Answer:
p = -2 ±sqrt( 5)
Step-by-step explanation:
p^2 + 4p = 1
Take the coefficient of p
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
p^2 + 4p+4 = 1+4
(p+2) ^2 = 5
Take the square root of each side
sqrt((p+2) ^2) =±sqrt( 5)
p+2 = ±sqrt( 5)
Subtract 2 from each side
p+2-2 = -2 ±sqrt( 5)
p = -2 ±sqrt( 5)