Find the volume of the portion of the solid sphere rholess than or equals5 that lies between the cones variant phiequalsStartFra
ction pi Over 6 EndFraction and variant phiequalsStartFraction 5 pi Over 6 EndFraction .
1 answer:
Answer:
Volume = (250π√3)/3 unit³
Step-by-step explanation:
The shape is a solid sphere
Where rho = ρ
ρ ≤ 5
Where Phi = φ
φ = π/6 (lower limit)
φ = 5π/6 (upper limit)
Note 1π rad = 180°
We would apply triple integrals and spherical coordinates to solve for the volume of a solid sphere.
See attachment for details
From calculations,
The volume of the portion of solid sphere = Volume = (250π√3)/3 unit³
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Answer:
y ≈ 5.2
Step-by-step explanation:
∠ F = 180° - (42 + 48)° ← sum of angles in a triangle
∠ F = 180° - 90° = 90°
Thus Δ DEF is right at F
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sin48° = =
=
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Answer:
Each of the 5 children receive one fifteenth pie
Step-by-step explanation:
Given:
One third of a pie shared equally between 5 children.
To find:
Amount of the pie with each of the 5 children.
Solution:
Number of children = 5
Also, one third of a pie shared equally between 5 children.
So,
Amount of the pie with each of the 5 children
Hence, each of the 5 children receive one fifteenth pie.