Question

adam decides to estimate the volume of an orange by modeling it as a sphere. he measures its radius as 5.9 cm. find the oranges volume in cubic centimeters. round your answer to the nearest tenth if necessary. answer attempt 1 out of 2

Explanation:

Step1: Recall the formula for the volume of a sphere

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

Step2: Substitute the given radius into the formula

Given \( r = 5.9\) cm. Then \( V=\frac{4}{3}\pi(5.9)^{3}\).
First, calculate \( (5.9)^{3}=5.9\times5.9\times5.9 = 205.379\).
Then \( V=\frac{4}{3}\pi\times205.379\).
\(\frac{4}{3}\times205.379 = 273.83866\cdots\).
So \( V=273.83866\cdots\times\pi\).
Taking \( \pi\approx3.14\), we have \( V\approx273.83866\times3.14 = 860.85349\cdots\).

Answer:

\( 860.9\)