Question

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

Answer 1

267.95 cm³

Explanation:

Volume of a sphere

• 4/3πr³

Here, diameter = 8 cm.

But, diameter = 2 x radius

Therefore, radius = 4 cm.

Solving

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

Answer 2

267.95 cm³ (nearest hundredth)

Explanation:

Formulae

`\textsf{Volume of a sphere}=\sf \frac43 \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 \frac43 \cdot 3.14 \cdot 4^3\\ & = \sf 267.95\:cm^3\:(nearest\:hundredth)\end{aligned}`