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Amiraneli [1.4K]
2 years ago
10

What is the diameter of a sphere with volume of 7483

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
5 0

Answer:

The diameter of the sphere with the given volume is 24.268 units

Step-by-step explanation:

Volume of a sphere is given by the equation:

V=4/3\pi r^3

Plug in your volume and solve for r

7483=4/3\pi r^3

7483(3/4)=\pi r^3

5612.25=\pi r^3

5612.25/\pi =r^3

1786.43=r^3

\sqrt[3]{1786.43}=r

r = 12.134 units

d = 2r

d = 2(12.134)

d = 24.268 units

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The coordinates of each rectangle ABCD are A (0,2) B (2,4) C (3,3) D (1,1). Find the distance of each side of the rectangle then
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AB = CD = √8 ≈ 2.8 units

BC = AD = √2 ≈ 1.4 units

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Perimeter of the rectangle ABCD = 8.4 units

<h3>How to Find the Area and Perimeter of a Rectangle?</h3>

Given the coordinates of vertices of rectangle ABCD as:

  • A(0,2)
  • B(2,4)
  • C(3,3)
  • D(1,1)

To find the area and perimeter, use the distance formula to find the distance between A and B, and B and C.

Using the distance formula, we have the following:

AB = √[(2−0)² + (4−2)²]

AB = √[(2)² + (2)²]

AB = √8 ≈ 2.8 units

CD = √8 ≈ 2.8 units

BC = √[(2−3)² + (4−3)²]

BC = √[(−1)² + (1)²]

BC = √2 ≈ 1.4 units

AD = √2 ≈ 1.4 units

Area of the rectangle ABCD = (AB)(BC) = (2.8)(1.4) = 3.92 units²

Perimeter of the rectangle ABCD = 2(AB + BC) = 2(2.8 + 1.4) = 8.4 units

Learn more about the area and perimeter of rectangle on:

brainly.com/question/24571594

#SPJ1

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