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
A zero in front of the x would make this a difference of two perfect squares. All of the other option would interfere by adding another term.
You need to implement the process of "flip-flop" and multiply which is where you flip the second fraction and multiply.

÷

⇒

×

Now you multiply across. 2×15=30 and 3×11=33
So now it is

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To reduce to the lowest terms, find the GCF common factor
The GCF is 3
Divide both the numerator and denominator by 3

÷

=

Answer:
Answer:

Step-by-step explanation:

Step 1: Apply exponent rule: 

Step 2: Multiply fractions: 

Step 3: Simplify

The result is 
<u>Spanish/Espanól</u>
Respuesta:
Explicación paso a paso:
Paso 1: aplique la regla del exponente:
Paso 2: multiplica fracciones:
Paso 3: simplifica
El resultado es 