HERE IS YOUR ANSWER IN PICTURE...
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:
345
Step-by-step explanation:
Answer:
$11.97
Step-by-step explanation:
$23.94 divided by the two packs of batteries equals $11.97 therefore if he only purchased one it would be said amount.
Answer: 5 + 5^2 + 5^3 + 5^4
Explanation:
1) First time, when Kris forwards the e-mail it reaches other 5 people.
2) Second time, each one of the 5 people forawer to other 5 people, meaning that the second time the e-mail has reached other 5^2 people.
3) Third time, each 5^2 people forwarded to other 5 people, so the email reaches other 5^3 people
4) Fourth time => 5^4 new people.
So, the total number (not including Kris) is 5 + 5^2 + 5^3 + 5^4.
