Question

what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. sphere image with 126 cm diameter cubic centimeters submit

Explanation:

Step1: Find the radius of the sphere.

The diameter of the sphere is given as 126 cm. The radius \( r \) is half of the diameter, so \( r=\frac{126}{2} = 63 \) cm.

Step2: Use the formula for the volume of a sphere.

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \). Substitute \( \pi\approx3.14 \) and \( r = 63 \) into the formula.
First, calculate \( r^{3} \): \( 63^{3}=63\times63\times63 = 250047 \).
Then, calculate \( \frac{4}{3}\times3.14\times250047 \).
\( \frac{4}{3}\times3.14 = \frac{12.56}{3}\approx4.1867 \).
Then, \( 4.1867\times250047\approx1046502.00 \) (rounded to the nearest hundredth).

Answer:

1046502.00