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:
the mean is the average, so you would add up all the numbers and then divide by the amount of numbers
so the answer would be 67.5
Answer:
D. a complex sentence
Step-by-step explanation:
A. is incorrect because it does not include a conjunction to connect the two sentences.
B. is incorrect because the sentence is not asking a question.
C. is incorrect because the sentence includes two sentences.
D. is correct because a complex sentence includes and independent clause(elizabeth likes to trek with her friends during the weekend) and a dependent clause( which is also a great way to socialize and stay fit)
The statement that best describes the two expressions is
D. A is irrational, but B is rational
square root of 64 plus square root of 5 is 8 plus square root of 5, the square root of 5 is an irrational number which makes the entire expression an irrational number
square root of 64 plus square root of 4 is 8 plus 2 which is equal to 10 and is a rational number