Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

spaceship earth, a major tourist attraction, is a sphere whose diameter…

Question

spaceship earth, a major tourist attraction, is a sphere whose diameter is approximately 50 m.
what is the volume of spaceship earth?
use 3.14 for pi.
enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.
\\( \square \mathrm { m } ^ { 3 } \\)

Explanation:

Step1: Find the radius

The radius \( r \) of a sphere is half of the diameter \( d \). Given \( d = 50\space m \), so \( r=\frac{d}{2}=\frac{50}{2}=25\space m \).

Step2: Use the volume formula for a sphere

The volume formula for a sphere is \( V=\frac{4}{3}\pi r^{3} \). Substitute \( \pi = 3.14 \) and \( r = 25 \) into the formula:

$$ LATEXBLOCK0 $$

Answer:

\( 65416.67 \)