sbejarano006 sbejarano006
  • 11-03-2020
  • Mathematics
contestada

Find the radius of the sphere with a volume of 32/81π cubic yards. Write your answer as a fraction in simplest form.
The radius is
yard.

Respuesta :

jdoe0001 jdoe0001
  • 11-03-2020

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=\frac{32\pi }{81} \end{cases}\implies \cfrac{32\pi }{81}=\cfrac{4\pi r^3}{3}\implies \cfrac{96\pi }{81}=4\pi r^3 \\\\\\ \cfrac{96\pi }{324\pi }=r^3\implies \cfrac{8}{27}=r^3\implies \sqrt[3]{\cfrac{8}{27}}=r\implies \cfrac{\sqrt[3]{8}}{\sqrt[3]{27}}=r\implies \cfrac{2}{3}=r[/tex]

Answer Link

Otras preguntas

What property describes the number sentence 6+0=6
What is the value of 2y+3,when y=4?
Can u help me?? Two bowling balls with equal size but different mass are rolled down a ramp. What are the likely factors affecting which ball travels further???
What's is the relationship between Henry May and William Burke?
What is the product of eight and one hundred twenty-five
A decorator charges $40 for an initial consultation, then $80 per hour. Another decorator just charges $90 per hour. How long is a job for which the two decorat
The measure of angle X is 18 more than three times the measure of its complement. Find the measure of angle X.
Are the fractions 15/45 and 45/135 equivalent? Why!?
How could I solve this equation, x+36=4x?
what times 3 equals 20