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Find the volume of a sphere with a diameter 40 cm in length. Approximate 2004-06-01-05-00_files/i0230000.jpg as 3.14 and round your answer to the nearest tenth.

A.
5,026.5 2004-06-01-05-00_files/i0230003.jpg
B.
33,493.3 2004-06-01-05-00_files/i0230002.jpg
C.
42,090.0 2004-06-01-05-00_files/i0230004.jpg
D.
268,082.6 2004-06-01-05-00_files/i0230001.jpg

Respuesta :

HomertheGenius
Radius of the sphere:  r = 20 cm.
The volume of the sphere:
V = 4/3 · r³ π =
= 4/3 · 20³ · 3.14 = 4/3 · 8,000 · 3.14 = 33,493.333... ≈ 33,493.3
Answer:
B ) 33,493.3
Lanuel

Based on the calculations, the volume of this sphere to the nearest tenth is equal to: B. 33,493.3 cm³.

Given the following data:

  • Pie, π = 3.14
  • Diameter of sphere = 40 cm

Therefore, radius = diameter/2 = 40/2 = 20 cm.

How to calculate the volume of a sphere?

Mathematically, the volume of a sphere can be calculated by using this formula:

V = 4/3 × πr³

Where:

  • V is the volume.
  • r is the radius.

Substituting the parameters into the formula, we have:

V = 4/3 × 3.14 × 20³

V = 4/3 × 25,120

Volume, V = 33,493.3 cm³.

Read more on volume of a sphere here: https://brainly.com/question/1832322

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