The Diameter of sphere is 2cm.
Step-by-step explanation:
Given,
Volume of sphere = [tex]\frac{4}{3}\pi \ cm^3[/tex]
Let,
diameter = d
As we know,
Volume of sphere = [tex]\frac{4}{3}\pi \ r^3[/tex]
Therefore,
[tex]\frac{4}{3}\pi\ r^3 = \frac{4}{3}\pi \\Multiplying\ both\ sides\ by\ \frac{3}{4\pi }\\\frac{3}{4\pi }*\frac{4}{3}\pi \ r^3 = \frac{4}{3}\pi * \frac{3}{4\pi }\\r^3=1\\(r)^3=(1)^3\\r=1[/tex]
We know that,
Diameter = 2r
Diameter = 2*1
Diameter = 2 cm
The Diameter of sphere is 2cm.
Keywords: Volume, Diameter
Learn more about diameters at:
- brainly.com/question/12973601
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