Question

A sphere has a volume of 36 (3.14) cm cube. what is the diameter of the sphere

Answer 1

Answer:

Diameter = 6 cm

Step-by-step explanation:

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

We have V = 36(3.14) cm³ = V = 36π cm³. Substitute:

$\dfrac{4}{3}\pi R^3=36\pi$      divide both sides by π

$\dfrac{4}{3}R^3=36$           multiply both sides by 3

$4R^3=108$            divide both sides by 4

$R^3=27\to R=\sqrt[3]{27}\\\\R=3\ cm$

The diameter D = 2R.

Therefore D = 2(3 cm) = 6cm