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podryga [215]
3 years ago
14

Find the volume of a sphere with a diameter of 8 cm. (Use 3.14 for pi.) 189 cm³ 258 cm³ 159.9 cm³ 267.95 cm³

Mathematics
2 answers:
Gemiola [76]3 years ago
8 0

Answer:

267.95 cm³ (nearest hundredth)

Step-by-step explanation:

<u>Formulae</u>

\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3\quad\textsf{(where r is the radius)}

\textsf{Diameter of a circle}=\sf 2r\quad\textsf{(where r is the radius)}

Given:

  • diameter = 8 cm
  • \pi = 3.14

⇒ radius = 8 ÷ 2 = 4cm

\begin{aligned}\implies \textsf{Volume} &=\sf \dfrac43 \cdot 3.14 \cdot 4^3\\ & = \sf 267.95\:cm^3\:(nearest\:hundredth)\end{aligned}

Finger [1]3 years ago
8 0

Answer:

<u>267.95 cm³</u>

Step-by-step explanation:

<u>Volume of a sphere</u>

  • 4/3πr³

Here, diameter = 8 cm.

But, diameter = 2 x radius

Therefore, radius = 4 cm.

<u>Solving</u>

  • V = 4/3 x 3.14 x (4)³
  • V = 4/3 x 3.14 x 64
  • V = 4/3 x 200.96
  • V = <u>267.95 cm³</u>
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