the radius, r, of a sphere is 4.2 m. calculate the spheres volume, v. use the value 3.14 for π, and round…

Explanation:

Step1: Write the formula for the volume of a sphere

The formula for the volume of a sphere is (V=\frac{4}{3}\pi R^{3}).

Step2: Substitute the given values

Given (R = 4.2) m and (\pi=3.14). [ \begin{align*} V&=\frac{4}{3}\times3.14\times(4.2)^{3}\ &=\frac{4}{3}\times3.14\times74.088\ \end{align*} ]

Step3: Calculate the value

[ \begin{align*} V&=\frac{4\times3.14\times74.088}{3}\ &=\frac{929.2992}{3}\ & = 309.7664 \end{align*} ]

Step4: Round to the nearest tenth

Rounding (309.7664) to the nearest tenth gives (309.8).

Answer:

(309.8)