Question

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

Answer 1

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

Answer 2

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.