Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
72 m
Step-by-step explanation:
Answer:
50 499/1000
Step-by-step explanation:
50.499
There are 3 digits after the decimal
Our denominator is 1 with 3 zero's 1000
50 499/1000
Step-by-step explanation:
Do you mean the y-intercept/constant term? Just comment below and let me know what coefficient you mean :D
2y = 4x + 6
y = 2x + 3
Slope = Coefficient of x = 2, y-intercept = 3.
