Question

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

Answer 1

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.

Answer 2

The radius will be 1.5cm of the sphere having a volume of 4.5$\pi$. The volume of a sphere is the three-dimensional figure of the two-dimensional circles.

What is a sphere?

A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle.

It is given that

The Volume of the sphere = 4$\pi$

The radius of the sphere is calculated as:

$\rm Volume = \dfrac{4}{3}\pi r^3$

$4 \pi =\dfrac{4}{3}\pi r^3$

$r^3=3.375$

$r=1.5 \ units$

Hence the radius of the sphere having a volume of 4.5$\pi$ will be equal to 1.5cm

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