a sphere and its dimension are shown. find the volume of the sphere in cubic inches. round your answer to…

a sphere and its dimension are shown. find the volume of the sphere in cubic inches. round your answer to the tenths place.\n18 m

a sphere and its dimension are shown. find the volume of the sphere in cubic inches. round your answer to the tenths place.\n18 m

Answer

Explanation:

Step1: Convert diameter to radius

The diameter is 18 m, so radius $r = \frac{18}{2} = 9$ m.

Step2: Convert meters to inches

1 m = 39.37 inches, so $r = 9 \times 39.37 = 354.33$ inches.

Step3: Apply sphere volume formula

Volume formula: $V = \frac{4}{3}\pi r^3$ Substitute $r$: $V = \frac{4}{3}\pi (354.33)^3$ Calculate $(354.33)^3 = 354.33 \times 354.33 \times 354.33 \approx 44,472,542.5$ Then $V = \frac{4}{3} \times \pi \times 44,472,542.5 \approx \frac{4}{3} \times 139,713,784.5 \approx 186,285,046.0$

Step4: Round to tenths place

$V \approx 186285046.0$ cubic inches

Answer:

186285046.0 cubic inches