Question

What is the volume of this sphere?

Use a 3.14 and round your answer to the nearest hundredth.
4 m
cubic meters

Answer 1

given:

radius= 4 m

to find:

the volume of the given sphere.

solution:

`v = (4)/(3) \pi {r}^(3)`

`v = (4)/(3) * 3.14 * {4}^(3)`

`v = 267.9466667 \: {m}^(3)`

`v = 267.95 \: {m}^(3)`

therefore, the volume of the given sphere is 267.95 cubic meters.

Answer 2

Given:

• r= 4 meter

Note that:

• r: radius

To find:

• The volume of the given sphere to the nearest hundredth.

Solution:

• A sphere is a 3D shape with 2 dimensional circle.

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

`\large\boxed{\bold{\red\pi\red=\red3\red.\red1\red4}}`

In this question the radius is given so we'll simply have to substitute and solve.

Let's solve!

Substitute the values according to the formula.

Instead of π we are asked to use 3.14

`V= (4)/(3)*\ 3.14*{4}^(3)`

Calculator answer:

`\bold{V= 267.9466667 \:{m}^(3)}`

Now, we can round off to the nearest hundredth.

The value in thousandths place is greater than 5 so, we will have to round up by adding 1 to the hundredths place.

Final answer:

`\large\boxed{\bold{V= 267.95 \: {m}^(3)}}`

Hence, the volume of the given sphere is 267.95 cubic meters.