Question

volume of a sphere
the volume of a sphere with radius ( r ) is given by the formula ( v = \frac{4}{3}pi r^3 ).
find the volume of a sphere with radius 7 cm is cubic cm
use 3.14 or the ( pi ) key on your calculator.
round your answer to the nearest tenth if necessary.

Explanation:

Step1: Identify the formula and given values

The formula for the volume of a sphere is \( V = \frac{4}{3}\pi r^3 \), and the radius \( r = 7 \) cm. We will use \( \pi = 3.14 \).

Step2: Substitute the values into the formula

First, calculate \( r^3 \): \( 7^3 = 7\times7\times7 = 343 \). Then substitute into the formula: \( V=\frac{4}{3}\times3.14\times343 \).

Step3: Perform the multiplication

First, calculate \( \frac{4}{3}\times3.14 \approx 4.1867 \). Then multiply by 343: \( 4.1867\times343 \approx 1436.0 \) (rounded to the nearest tenth).

Answer:

1436.0