Question

What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?

Answer 1

given:

radius= 8 m

to find:

the volume of the sphere

solution:

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

`v = (4)/(3) * \pi * {8}^(3)`

`v = 2144.66058 \: {m}^(3)`

`v = 2144.7 \: {m}^(3)`

therefore, the volume of the given sphere is 2144.7 cubic meters.

Answer 2

Given:

• r= 8 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 circles.

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

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

Let's solve!

Substitute the values according to the formula.

`V= (4)/(3)*\pi*{8}^(3)`

Calculator value:

`V= 2144.660585 \: {m}^(3)`

Now, we'll have to round off to the nearest tenth.

The value in hundredths place is greater than 5 so, we will have to round up which means, we'll have to add 1 to the tenths place.

Final answer:

`\large\boxed{V= 2144.7 \: {m}^(3)}`

Hence, the volume of the given sphere is 2144.7 cubic meters.