Question

consider a sphere with a radius of 7.1 mm. using the aleks calculator, approximate the volume of the sphere. to do the approximation, do not round any intermediate steps, and use the π button on the calculator. round your answer to the nearest hundredth. if necessary, refer to the list of geometry formulas. make sure that you use the correct units in your answer. approximate volume:

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$, where $r$ is the radius of the sphere.

Step2: Substitute radius value

Given $r = 7.1$ mm, substitute it into the formula: $V=\frac{4}{3}\pi(7.1)^{3}$.

Step3: Calculate the value

First, calculate $(7.1)^{3}=7.1\times7.1\times7.1 = 357.911$. Then, $V=\frac{4}{3}\pi\times357.911$. Using the $\pi$ - button on the calculator, $V=\frac{4\times357.911\pi}{3}\approx\frac{4\times357.911\times3.14159}{3}$.
$4\times357.911\times3.14159 = 4492.99777$. Then $\frac{4492.99777}{3}\approx1497.66592$.

Step4: Round the answer

Rounding to the nearest hundredth, $V\approx1497.67$ $mm^{3}$.

Answer:

$1497.67$ $mm^{3}$