Mathematics

11th -

12thgrade

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  • 1. Multiple Choice
    3 minutes
    1 pt
    The radius r of a sphere is increasing at a rate of 2 inches per minute.  Find the rate of change of the volume when r=6 inches.
    C=2πr
    A=πr²
    V=(4/3)πr³
    S=4πr²
  • 2. Multiple Choice
    3 minutes
    1 pt
    All edges of a cube are expanding at a rate of 3 centimeters per second.  How fast is the volume changing each edge is 1 centimeter.
    A=l*w
    V=3s²
    A=s²
    V=s³
  • 3. Multiple Choice
    3 minutes
    1 pt
    In a cone, find the rate of change of the volume if dr/dt is 2 inches per minute and the height is 3r when the radius is 6.
    S=πr√(r^2+h^2)
    V=πr²h
    V=(πr²h)/3
    V=(4/3)πr³
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