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:

$v = \frac{4}{3} \pi {r}^{3}$

$v = \frac{4}{3} \times \pi \times {8}^{3}$

$v = 2144.66058 \: {m}^{3}$

$v = 2144.7 \: {m}^{3}$

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.

$\large\boxed{Formula: V= \frac{4}{3}\pi {r}^{3}}$

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.

$V= \frac{4}{3}\times\pi\times{8}^{3}$

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.