Multiple choice

A cube has an edge length of 70 inches. A solid cylinder with a radius of 20 inches and a height equal to the cube's height is placed perfectly inside the cube. To the nearest cubic inch, what is the volume of the space in the cube not occupied by the cylinder?

  1. 210,000

  2. 255,000

  3. 285,000

  4. 307,000
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

The volume of the cube is found by cubing the edge length, giving 70 * 70 * 70 = 343,000 cubic inches. The volume of the solid cylinder inside the cube is calculated as pi * r^2 * h, which equals 22/7 * 20 * 20 * 70 = 88,000 cubic inches. To find the empty space, subtract the cylinder's volume from the cube's volume: 343,000 - 88,000 = 255,000 cubic inches.

Keep practicing — related questions