barbarag barbarag
  • 04-04-2020
  • Mathematics
contestada

A sphere has a volume of 4500pi cubic feet what is the radius of the sphere

Respuesta :

MonikaRodriguez
MonikaRodriguez MonikaRodriguez
  • 04-04-2020

Answer:

S = [tex]900\pi in^2[/tex]

Step-by-step explanation:

[tex]V = 4\pi r^3 /3\\\\\\13500\pi = 4\pi r^3\\\\\\r^3 = \frac{13500\pi }{4\pi } \\\\\\r^3 = 3375\\\\\\r = 15 in\\\\\\S = 4\pi r^2\\\\S = 4\pi 15^2\\\\S = 900 \pi in^2[/tex]

Answer Link
Officialalehpeter
Officialalehpeter Officialalehpeter
  • 04-04-2020

Answer: r=15ft

Step-by-step explanation:

Volume of a sphere= 4/3pir3

Volume =4500pi

R=?

Substitute the values

V=4/3pir3

4500pi=4/3pir3

Pi will cancel pi

So we have

4500=4/3r3

4500×3=4r3

13500=4r3

R3=13500/4

R3= 3375

R= cube root of 3375

R=15ft

Answer Link

Otras preguntas

What is two thirds minus six thirds
Trying to translate word problems. Five times the sum of 3 and twice some number is 70. what is the number?
Why is RNA necessary to act as messenger?
You have a cylinder with a diameter of 15 inches and a height of 12 inches. What is the volume of the largest sphere thg will fit inside it? If you can will you
What two major processes are involved in the oxygen cycle?
A 1 digit number and a 3 digit number have a sum of 205.  The same two number have a difference of 195, a product of 1,000 and a quotient of 40.  What are the t
Trying to translate word problems. Five times the sum of 3 and twice some number is 70. what is the number?
What is the numerator or denominator of 4/5
When was World War I?
When was World War I?