Question

A sphere has a diameter of 6 cm.

What is the volume when pi is set to 3?

Answer 1

Given that:

• diameter= 6 cm

To find:

• The volume of the given sphere when π is equal to 3.

Solution:

• A sphere is a 3 dimensional solid with a curved surface.

First, we'll have to find the radius.

• Radius is half of the diameter.

`\large\boxed{\bold{r= (d)/(2)}}`

`r= \frac {6}{2}`

`r= 3 \ cm`

Now, we can workout the volume.

Instead of π, we are asked to use 3.

`\large\boxed{\bold{\red \pi \red = \ \red 3}}`

`\large\boxed{\bold{V= \ (4)/(3) \pi {r}^(3)}}`

Now, substitute the values according to the formula.

`V= \ (4)/(3) × 3 × {3}^(3)`

`\large\boxed{\bold{V= \ 108 \ {cm}^(3)}}`

The answer is a whole number so you won't have to round off.

Therefore, the volume of the given sphere is 108 cubic centimeters.