lilyalvis lilyalvis
  • 26-03-2019
  • Mathematics
contestada

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

Respuesta :

gmany
gmany gmany
  • 29-03-2019

Answer:

Diameter = 6 cm

Step-by-step explanation:

The formula of a volume of a sphere:

[tex]V=\dfrac{4}{3}\pi R^3[/tex]

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

[tex]\dfrac{4}{3}\pi R^3=36\pi[/tex]      divide both sides by π

[tex]\dfrac{4}{3}R^3=36[/tex]           multiply both sides by 3

[tex]4R^3=108[/tex]            divide both sides by 4

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

The diameter D = 2R.

Therefore D = 2(3 cm) = 6cm

Answer Link

Otras preguntas

can u help me for 10 points!!!
How was the African slave trade adapted to European needs?
What is 5.6 as a fraction or mixed number in simplest form
What did the Mayans use to help them create a calendar?
wilson has $3,000 I'm the bank account . ms nelson has 10 times as much money in her bank account as mr willson has in his bank account how much money does ms
An aiplane travels 520 miles in 1.3 hours. What is its speed in miles per hour?
which image is cohesion stronger than adhesion and which image is adhesion stronger than cohesion
Can u plz help me out
Ben is exercising his pony on a large, oval track. The pony is trotting at a constant speed of 10 m/s around the track. Which statement can be made about the po
The intercept not graph of 9x^2-4y^2=1