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solmaris [256]
3 years ago
8

The volume of a sphere is 4/3pi cm^3 what is the diameter of the sphere?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

The Diameter of sphere is 2cm.

Step-by-step explanation:

Given,

Volume of sphere = \frac{4}{3}\pi \ cm^3

Let,

diameter = d

As we know,

Volume of sphere = \frac{4}{3}\pi \ r^3

Therefore,

\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

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
  • brainly.com/question/13063819

#LearnwithBrainly

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