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:
5m + 4p
Step-by-step explanation:
When using the Internet to conduct consumer research, be sure to use reliable websites, verify sources and know the purpose. So the answer is letter D. All of these.
The length of the radius of circle o is 18 cm.
<h2>
</h2><h2>
Given that</h2>
Circle o has a circumference of 36π cm.
<h3>
We have to determine</h3>
What is the length of the radius, r?
<h3>According to the question</h3>
Circle o has a circumference of 36π cm.
The length of the radius of the circle is determined by the following formula;
Substitute all the values in the formula;
Hence, the length of the radius of circle o is 18 cm.
To know more about Circumference click the link given below.
brainly.com/question/4268218
