Math Problem of the Week - Algebra and Up - May 22, 2022 to May 28, 2022

Algebra and Up: 

Question: Mars has a radius of 3,000 km. Venus has a radius of 6,000 km. How many cubic km greater is the volume of Venus than the volume of Mars? Give your answer in terms of pi. 

Answer: 252,000,000,000 π  km3  or  2.52 × 1011 π  km3

Solution: We use the formula 4/3πr3 to find the volume of each planet. Venus’s volume is 288,000,000,000π km3, and Mars’s volume is 36,000,000,000π km3. The difference is therefore 252,000,000,000π km3.