Find the volume in terms of pi of a sphere with a surface area of 9 pi sq ft
Answer:
Here is my answers for the practice that I have come across. It may be the new one. I also shortened it.
1. find the SA of a grape fruit with a c of 14cm.
62 cm^2
2. a sphere has a volume of 900 ci. find SA
451
3. a solid metal cube with an edge length of 9 in is melted and reshaped into a sphere. which is SA of sphere
391.7
4. the sphere below fits snugly inside a cube with 6 in edges what is the v of the space between the sphere and the cube
102.9
5. find the v in terms of pi of a sphere with a SA of 9 pi square feet
9/2 pi ft^3
6. which of the following is the greatest the total v of 3 sphere each of which a diameter of 5 in the v of one sphere that has a diameter 8 in or the v of a hemisphere with a diameter of 10 in
the v of 1 sphere with a diameter of 8 in is greatest
7. a sphere has center 0 0 0 and a radius of 5
0 -3 4
8. find v of figure the diameter of the base is 4 cm
46/3 pi cm^3
9. a sphere with a radius of 5 cm fits inside a box every face is tangent to the sphere
6 pi
10. tennis balls are sold in packs of 3 and come packaged in a plastic cylindrical container there is no space between
69 square inches
Step-by-step explanation:
the answer to this is:
1)A 2)A 3)B 4)B5)C 6)B 7)B 8)B 9)A 10)D
9/2 pi ft. cubed
volume=4/3* PI r^3
but area=4PIr^2 so r^2=9PI/4Pi=9/4
or r= 3/2
volume=4/3 * PI* (3/2)^3
Thank you i was stuck on this problem for a long time wonder how to approach it but all along it was simple. Thanks Again
Thank you
Jarl is 100% correct! Thanks soo much! Good luck! :)
All for unit 6 lesson 6 surface areas & volumes of spheres practice!
Thank you Jarl!!!
Jarl is right for the practice test!!
To find the volume of a sphere in terms of pi, we need to use the formula for the surface area of a sphere:
Surface Area = 4πr^2
Given that the surface area of the sphere is 9π square feet, we can set up the equation:
9π = 4πr^2
Now, let's solve this equation to find the radius (r) of the sphere:
Divide both sides of the equation by 4π:
(9π) / (4π) = (4πr^2) / (4π)
Cancel out the π on both sides:
(9/4) = r^2
Take the square root of both sides to solve for r:
√(9/4) = √(r^2)
Simplify:
(3/2) = r
Now we have the radius of the sphere, which is 3/2 (or 1.5) feet.
To find the volume of the sphere, we can use the formula:
Volume = (4/3)πr^3
Substitute the value of r:
Volume = (4/3)π(1.5)^3
Simplify:
Volume = (4/3)π(3.375)
Evaluate the expression:
Volume ≈ 14.137 cubic feet
Therefore, the volume of the sphere, in terms of pi, is approximately 14.137π cubic feet.