Question

find the volume of this object. use 3 for π. volume of the cylinder v ≈ 576 cm³ volume of a cone v = \frac{πr²h}{3} now lets calculate the volume of the cone. v = \frac{π4²10}{3} v ≈ \frac{(3)(?)(10)}{3} hint: following order of operations, first calculate the value of 4², or 4 · 4.

Explanation:

Step1: Calculate $4^2$

$4^2=4\times4 = 16$

Step2: Substitute into cone - volume formula

$V=\frac{(3)\times(16)\times(10)}{3}$

Step3: Simplify the expression

First, calculate the numerator: $(3)\times(16)\times(10)=480$. Then, $\frac{480}{3}=160$ $cm^3$.

Step4: Calculate the total volume of the object

The volume of the cylinder is approximately $576$ $cm^3$ and the volume of the cone is $160$ $cm^3$. The total volume $V_{total}=576 + 160=736$ $cm^3$.

Answer:

$736$ $cm^3$