Question

HELP PLEASE!!

Which is greater, the total volume of three spheres, each of which has a diameter 3 in., the volume of one sphere that has a diameter 8 in., or the volume of a hemisphere with a diameter of 9 in.?
a) The volume of three spheres, each with a diameter of 3 inches, is greater.
b) The volume of one sphere with a diameter of 8 inches is greater.
c) The volume of the hemisphere with a diameter of 9 in. is greater.
d) The two volumes are the same.,

Answer 1

Explanation:

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

Explanation:

Answer 2

Volume of the Sphere V = 4/3pi x r^3 So when diameter d = 3 inches => r = 1.5 inches volume of the sphere = 4.188 x r^3 = 4.188 x 1.5^3 = 14.14 in So when diameter d = 8 inches => r = 4 inches volume of the sphere = 4.188 x r^3 = 4.188 x 4^3 = 268.03 in So when diameter d = 9 inches => r = 4.5 inches volume of the sphere = 4.188 x r^3 = 4.188 x 4.5^3 = 381.63 in value for option (a) is 3 x 14.14 = 42.42 inches value for option (b) is 268.03 inches value for option (c) is 381.63 / 2 = 190.815 inches So the correct option would be (b)