Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

SAT Math 2 subject test question?

To the nearest integer, what is the volume of the region between two concentric spheres with radii 1 and 11, respectively?

A)599

B)1,393

C)4,189

D)5,571

E)5,575

* I have no clue how to solve this. Would be great if someone helped, Thanks:)

2 Answers

Relevance
  • 1 month ago
    Favorite Answer

    Volume is (4/3)πr³

    so, (4/3)π(11)³ - (4/3)π(1)³

    i.e. (4/3)π(11³ - 1)

    => (4/3)π(1331 - 1)

    so, 5320π/3 = 5571 cubic units

    :)>

  • Sean
    Lv 5
    1 month ago

    volume of outer sphere

    4/3 * pi * 11^2

    subtract from it the volume of the inner sphere

    4/3 * pi * 1^2

    4/3*pi(11^3-1^2)

    4/3*pi*(1331 -1)

    = 5571

Still have questions? Get your answers by asking now.