Question

what is the radius of a spherical fishbowl with a volume of 500 cubic centimeters? use \\( \pi = 3.14 \\). round your answer to the nearest tenth.
use the keypad to type your answer in the box.
the radius of the spherical fishbowl is approximately \\( \square \\) centimeters.

Explanation:

Step1: Recall the volume formula for a sphere

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

Step2: Substitute the given values into the formula

We know that \(V = 500\) and \(\pi=3.14\). So, \(500=\frac{4}{3}\times3.14\times r^{3}\).
First, simplify the right - hand side: \(\frac{4}{3}\times3.14=\frac{12.56}{3}\approx4.19\). Then the equation becomes \(500 = 4.19r^{3}\).

Step3: Solve for \(r^{3}\)

Divide both sides of the equation \(500 = 4.19r^{3}\) by \(4.19\): \(r^{3}=\frac{500}{4.19}\approx119.33\).

Step4: Solve for \(r\)

Take the cube root of both sides. \(r=\sqrt[3]{119.33}\). Using a calculator, \(r\approx4.9\).

Answer:

\(4.9\)