Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3
1 answer:
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Answer:
Ix = Iy =
Radius of gyration x = y =
Step-by-step explanation:
Given: A lamina with constant density ρ(x, y) = ρ occupies the given region x2 + y2 ≤ a2 in the first quadrant.
Mass of disk = ρπR2
Moment of inertia about its perpendicular axis is . Moment of inertia of quarter disk about its perpendicular is
.
Now using perpendicular axis theorem, Ix = Iy = =
.
For Radius of gyration K, equate MK2 = MR2/16, K= R/4.
Answer:
32% of the students did not have a pet.
Step-by-step explanation:
From the total students (100%):
- 1/4 of them had a dog only,
. Then, 25% had a dog only.
- 20% only had a cat.
- 15% had multiple pets.
- 0.08=8% only had other than cats or dogs.
- <u>Adding up all these cases, we obtain the proportion of students that had at least one pet:</u>
. Then, 68% of the students did have a pet.
- The rest of the students
, did not have any pet.