Question

PLEASE HELP ME I RLLY NEED THIS

A company is designing a new cylindrical water bottle. The volume of the bottle will be 104 cm^3. The height of the water bottle is 7.2 cm. What is the radius of the water​ bottle? Use 3.14 for pie.

Answer 1

The radius of the water bottle is 2.14 cm

The water bottle is said to be cylindrical, so its volume can be expressed as the volume of a cylinder.

Volume of a cylinder
`V = \pi r^2 h`

Where:

`\text{h = height}`

`\text{r = radius}`

Making the radius the subject of formula;

`r^2 = (V)/(\pi h)`

`r = \sqrt{(V)/(\pi h) }`

Given:

`\text{Volume V} = 104 \ \text{cm}^3`

`\text{height h} = 7.2 \ \text{cm}`

`\pi = 3.14`

Substituting the given values:

`r = \sqrt{(104)/(3.14*7.2) }`

`r = 2.14\ \text{cm}`

The radius of the water bottle is 2.14 cm