Question

the volume of a sphere is the amount of space inside the sphere and is measured in cubic units. this could be calculated using the formula $v = \frac{4}{3}\pi r^{3}$, where $v$ represents the volume of the sphere, $r$ is the radius, and $\pi$ is a constant approximately equal to $3.14159$.
a spherical helium storage tank has a radius of $8.5$ meters. how much helium can the tank contain?
use $3.14$ for $\pi$ and round your answer to the nearest whole number. use the keypad to enter the answer in the box.
the amount of helium the tank can contain is approximately \square\\ cubic meters.

Explanation:

Step1: Substitute the values into the formula

Given \(V=\frac{4}{3}\pi r^{3}\), \(r = 8.5\) meters and \(\pi=3.14\).
First, calculate \(r^{3}\): \(r^{3}=(8.5)^{3}=8.5\times8.5\times8.5 = 614.125\)

Step2: Calculate the volume

\(V=\frac{4}{3}\times3.14\times614.125\)
\(V=\frac{4\times3.14\times614.125}{3}\)
\(4\times3.14 = 12.56\)
\(12.56\times614.125=7713.41\)
\(V=\frac{7713.41}{3}\approx2571.14\)

Answer:

\(2571\)