find the volume of a right circular cone that has a height of 4.2 m and a base with a radius of 3.4 m. round…

Explanation:

Step1: Recall volume formula

The volume formula for a right - circular cone is $V=\frac{1}{3}\pi r^{2}h$, where $r$ is the radius of the base and $h$ is the height.

Step2: Substitute given values

Given $h = 4.2$ m and $r=3.4$ m. Substitute into the formula: $V=\frac{1}{3}\times\pi\times(3.4)^{2}\times4.2$. First, calculate $(3.4)^{2}=3.4\times3.4 = 11.56$. Then, $V=\frac{1}{3}\times\pi\times11.56\times4.2$. $\frac{1}{3}\times4.2 = 1.4$. So, $V = 1.4\times\pi\times11.56$. $V=1.4\times3.14\times11.56$ (taking $\pi\approx3.14$). $1.4\times3.14 = 4.396$. $V=4.396\times11.56$. $V = 50.81776$.

Step3: Round the result

Rounding $50.81776$ to the nearest tenth gives $50.8$ m³.

Answer:

$50.8$ m³