I need to find the volume of a sphere
1 answer:
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Answer:
(5/2)√13 ≈ 9.0139
Step-by-step explanation:
The longer hypotenuse is found using the Pythagorean theorem as ...
The right triangles are AA similar, and vertical sides correspond. Their ratio, smaller/larger is 5/8. That means the hypotenuse of the smaller triangle, A, is 5/8 of the hypotenuse of the larger one.
First, look at my attachment
The dump truck makes imaginary right triangle.
From the right triangle, we can find the h with sin ratio of the triangle.
h/b = sin of angle
h = b × sin of angle
(h stands for height, b stands for bed)
PART A: If the angle is 45°
h = b × sin 45°
h = 15 × 1/2√2
h = 15 × 0.707
h = 10.607
h = 10.6
The height is approximately 10.6 ft.
PART B: If the angle is 30°
h = b × sin 30°
h = 15 × 1/2
h = 7.5
The height is 7.5 ft.
PART C: If the angle is 60°
h = b × sin 60°
h = 15 × 1/2√3
h = 15 × 0.866
h = 12.990
h = 12.99
The height is approximately 12.99 ft.
The dump truck makes imaginary right triangle.
From the right triangle, we can find the h with sin ratio of the triangle.
h/b = sin of angle
h = b × sin of angle
(h stands for height, b stands for bed)
PART A: If the angle is 45°
h = b × sin 45°
h = 15 × 1/2√2
h = 15 × 0.707
h = 10.607
h = 10.6
The height is approximately 10.6 ft.
PART B: If the angle is 30°
h = b × sin 30°
h = 15 × 1/2
h = 7.5
The height is 7.5 ft.
PART C: If the angle is 60°
h = b × sin 60°
h = 15 × 1/2√3
h = 15 × 0.866
h = 12.990
h = 12.99
The height is approximately 12.99 ft.