Question

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

Answer 1

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

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