Answer:
19.995
Step-by-step explanation:
Answer:
b = 7
Step-by-step explanation:
6 b + 6 = 48
Subtract 6 from each side
6b+6-6 = 48 -6
6b = 42
Divide each side by 6
6b/6 = 42/6
b = 7
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:
a. 
Step-by-step explanation:
The surface area of the rectangular prism is:
Hence, the answer is A.
