What is the volume of this sphere?Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.7 in cubic inchesSubmit

1. Break Down the Problem

To find the volume of a sphere, we will use the formula for the volume of a sphere: $V = \frac{4}{3} \pi r^3$ where $r$ is the radius of the sphere.

2. Relevant Concepts

Given the radius of the sphere $r = 7$ inches, we will substitute this value into the volume formula.

3. Analysis and Detail

Substituting the radius into the formula: $V = \frac{4}{3} \cdot \pi \cdot (7)^3$ First, calculate $(7)^3$: $7^3 = 343$ Now plug this into the formula: $V = \frac{4}{3} \cdot 3.14 \cdot 343$ Calculating $\frac{4}{3} \cdot 3.14$: $\frac{4 \cdot 3.14}{3} = \frac{12.56}{3} \approx 4.1867$ So: $V \approx 4.1867 \cdot 343 \approx 1436.23$

4. Verify and Summarize

Thus, the volume of the sphere is approximately $1436.23$ cubic inches.

Final Answer

The volume of the sphere is approximately $1436.23$ cubic inches.