Asked by SkatingDJ
Which is greater, the total volume of three spheres, each of which has a diameter 5 in., the volume of one sphere that has a diameter 8 in., or the volume of a hemisphere with a diameter of 10 in.?
a) The volume of three spheres, each with a diameter of 5 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 10 in. is greater.
d) The three volumes are the same.
a) The volume of three spheres, each with a diameter of 5 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 10 in. is greater.
d) The three volumes are the same.
Answers
Answered by
Reiny
3 small ones of 5 in diameter
v = 3((4/3)π(2.5)^3) = 125π/2 = 62.5π = appr 196.35
one of diameter 8
v = (4/3)π(4^3) = 256π/3 = appr 268.08
hemisphere of radius 5
= (1/2)(4/3)π(5^3) = 250π/3 = appr 261.8
v = 3((4/3)π(2.5)^3) = 125π/2 = 62.5π = appr 196.35
one of diameter 8
v = (4/3)π(4^3) = 256π/3 = appr 268.08
hemisphere of radius 5
= (1/2)(4/3)π(5^3) = 250π/3 = appr 261.8
Answered by
Steve
well, just check. a sphere with diameter d has volume π/6 d^3
3*(π/6)(5^3) = 375π/6
(π/6)*8^3 = 512π/6
π/12 * 10^3 = 500π/6
3*(π/6)(5^3) = 375π/6
(π/6)*8^3 = 512π/6
π/12 * 10^3 = 500π/6
Answered by
SkatingDJ
Thank you, I had gotten it:)
Answered by
Jarl
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:
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:
Answered by
...
Oh cool he's right
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