SOLUTION: A sphere has surface area of 1296 pi in^2. find the volume of the sphere.
The choices are
A)24 pi in^3 B)1944 pi in^3
C)432 pi in^3 D)7776 pi in^3
Algebra.Com
Question 218249: A sphere has surface area of 1296 pi in^2. find the volume of the sphere.
The choices are
A)24 pi in^3 B)1944 pi in^3
C)432 pi in^3 D)7776 pi in^3
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
A sphere has surface area of 1296 pi in^2. find the volume of the sphere.
The choices are
A)24 pi in^3 B)1944 pi in^3
C)432 pi in^3 D)7776 pi in^3
Step 1. The surface area S of a sphere is given as . So
Divide to both sides of the equation
Take the square root to both sides of the equation
Step 2. The volume V of a sphere is given as . then
where or
where I cancelled the in numerator leaving in denominator
where I multiplied by to get rid of square root of pi in denominator.
Step 3. ANSWER is . I don't see this answer among your choices.
I hope the above steps were helpful.
For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
And good luck in your studies!
Respectfully,
Dr J
drjctu@gmail.com
http://www.FreedomUniversity.TV
http://www.Facebook.com/FreedomUniversity.TV
http://www.Twitter.com/FreedomUTV
RELATED QUESTIONS
The surface area of a sphere is 64 pi m^2. Find the volume of the sphere in terms of pi. (answered by jim_thompson5910)
Find the volume in terms of pi of a sphere whose surface area is {{{36*pi^2}}}. The... (answered by bucky)
Find the surface area of a sphere that has a volume of 288 pi ft cube. Give answer in... (answered by sachi)
1.The volume of a cone is 256 pi in cube and the height is 12 inches. Find the radius
2. (answered by mananth)
The surface area of a sphere is 3600 pi square inches. If v represents the volume of the... (answered by Theo)
The surface area of the sphere A= 81 pi... (answered by Alan3354)
The radii of four spheres are 3/2m, 5/2m, 7/2m, and 9/2m.
a. Find the volume of each... (answered by richard1234)
Calculate,in terms of pi,the volume of a sphere with radius of lenght 3... (answered by Alan3354)
The surface area of a sphere 324 square centimeters. What is volume in cubic centimeters, (answered by Alan3354)