##### I need help with a geometry problem

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5

Nov 12th, 2015

Thank you for the opportunity to help you with your question!

Recall the volume formula for a sphere.  Remember it is V = (4/3) * pi * r ^3,  where pi = 3.1415926535 , r = radius of sphere.

Please confirm the formula.

We know the Volume = 3053.63 cubic feet.  We need to find the diameter of the sphere which equals 2*r  or 2 times the radius.

Set the equation according to the formula:

3053.63 = (4/3) * 3.1415926535 * r *r *r

let us get the variable r alone on the right side of the equation.

3053.63 * (3/4) = 3.1415926535 * r*r*r

2290.2225 = 3.1415926535 * r*r*r

2290.2225/3.1415926535 = r*r*r

729.0004633 = r*r*r

cube root of 729.0004633 = r

9.000002 = r

diameter = 2*r = 2*9.000002 = 18 feet.

Answer choice A.) 18 feet.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 12th, 2015

...
Nov 12th, 2015
...
Nov 12th, 2015
Oct 19th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer