Question

find the volume of this sphere. use 3.14 for π. 7 m volume of a sphere v = \frac{4}{3}πr^{3}

Explanation:

Step1: Substitute the radius into the formula

The formula for the volume of a sphere is \( V=\frac{4}{3}\pi r^{3}\). Given \( r = 7\) m and \( \pi=3.14\), we substitute these values into the formula: \( V=\frac{4}{3}\times3.14\times7^{3}\).

Step2: Calculate \(7^{3}\)

\(7^{3}=7\times7\times7 = 343\). So the formula becomes \( V=\frac{4}{3}\times3.14\times343\).

Step3: Calculate \(\frac{4}{3}\times3.14\)

\(\frac{4}{3}\times3.14=\frac{12.56}{3}\approx4.19\). Now the formula is \( V\approx4.19\times343\).

Step4: Multiply to find the volume

\(4.19\times343 = 1436.17\) \(m^{3}\).

Answer:

\(1436.17\) \(m^{3}\)