Question

Find the volume of the sphere.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and round your final answer to the nearest hundredth.

Answer 1

Answer:

welly teacher suhest me to use 3.14 for π

Answer 2

Given:

Given solid is a sphere.

To find:

We need to find the volume of the sphere in terms of $\pi$ or numbers.

Solution:

The given object in the question is a sphere.

Let the radius of the sphere $=r=10$ centimeters.

We know that, the formula for the volume of the sphere is,

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

Now, substitute the radius value in the volume of sphere formula.

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

$\Rightarrow v=\frac{4}{3} \pi(10)^3$

$\Rightarrow v=\frac{4}{3} \pi(1000)$

$\Rightarrow v=\frac{4000}{3} \pi$

$\Rightarrow v= 1333.33 \pi$

So, the volume of sphere in terms of $\pi$ is equal to $1333.33 \pi$.

Now,

$\Rightarrow v= 1333.33 \pi$

$\Rightarrow v= 1333.33\times 3.14$

$\Rightarrow v = 4186.66$

Rounding off to nearest hundred,

$\Rightarrow v = 4200$

Therefore, volume of sphere is equal to 4200 cubic centimeters.