Answer:
9 cm
Step-by-step explanation:
Since the container is a cylinder of base diameter d₁ = 12 cm and thus radius r = 12/2 = 6 cm. The water height is 8 cm. The initial volume of water is thus V₁ = πr²h = π × 6² × 8 = 288π cm³.
The sphere of diameter d = 6 cm has radius r₁ = 6/2 = 3 cm. Its volume V₂ = 4πr³/3 = 4π × 3³/3 = 36π cm³
Since the sphere displaces it own volume of liquid, the new volume V = V₁ + V₂ = 288π cm³ + 36π cm³ = 324π cm³
This is the new volume of water in the cylinder. Since the water level rises by h' cm and V = πr²h'
h' = V/πr²
= 324π cm³/π(6)²
= 324π cm³/36π cm²
= 9 cm
So, the water level is 9 cm above the base
Answer:
1
Step-by-step explanation:
Any real number to the power of 0 is one (being that there is always a denominator of 1).
Answer:
Step-by-explanation:
The correct answer isn’t a choice, not to mention all of those options are in meters squared....which would make those windows massive, larger than the square footage of most houses.
Based on the investment ratio and the amount invested, the amount that Zach invested is<u> $102,857.14. </u>
First thing to do is to add up the numbers in the ratio:
= 1 + 2 + 0.5
= 3.5
The amount that Zach invested is:
<em>= Zach's ration/ Sum of ratio x Amount invested</em>
= 1 / 3.5 x 360,000
= $102,857.14
In conclusion, Zach invested $102,857.14.
<em>Find out more at brainly.com/question/17061956. </em>
