Question

find the volume of this cone.
use 3.14 for π.

v=
?
cm³
round your answer to the nearest tenth

Explanation:

Step1: Substitute the values into the formula

The formula for the volume of a cone is \(V=\frac{1}{3}\pi r^{2}h\). Here, \(r = 2\) cm and \(h=9\) cm, and \(\pi = 3.14\).
So, \(V=\frac{1}{3}\times3.14\times2^{2}\times9\).

Step2: Calculate \(2^{2}\)

\(2^{2}=4\). Then the formula becomes \(V=\frac{1}{3}\times3.14\times4\times9\).

Step3: Simplify \(\frac{1}{3}\times9\)

\(\frac{1}{3}\times9 = 3\). Now the formula is \(V=3.14\times4\times3\).

Step4: Calculate \(4\times3\)

\(4\times3 = 12\). So \(V=3.14\times12\).

Step5: Calculate the final value

\(3.14\times12=37.68\). Rounding \(37.68\) to the nearest tenth gives \(37.7\).

Answer:

\(37.7\)