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Dominik [7]
2 years ago
7

What is the radius of a sphere with a volume of 4.5π cubic centimeters?

Mathematics
2 answers:
Snowcat [4.5K]2 years ago
3 0
V=(4/3)pir^3
4.5pi=(4/3)pir^3
divide both sides by pi
4.5=(4/3)r^3
times 3/4 both sides
3.375=r^3
cube root both sides
1.5=r
radius is 1.5cm
JulijaS [17]2 years ago
3 0

Answer: 1.5 units

Step-by-step explanation:

We know that the volume of a sphere is given by :-

\text{Volume}=\dfrac{4}{3}\pi r^3, where r is the radius of the sphere.

Given : The volume of the sphere = 4.5\pi\text{ cm}^3

Now,

4.5\pi=\dfrac{4}{3}\pi r^3\\\\\Rightarrow\ r^3=\dfrac{3\times4.5}{4}\\\\\Rightarrow r^3=3.375\\\\\Rightarrow\ r=1.5\text{units}

Hence, radius of the given sphere = 1.5 units.

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