Mathematics

Question

Please find the volume of the object shown. Use 3.14 as pi. Round your answer to the nearest hundredth.
Please find the volume of the object shown. Use 3.14 as pi.  Round your answer to the nearest hundredth.

1 Answer

  • Firstly, split it into 2 separate shapes, the cylinder, and the hemisphere.

    The formula to work out the volume of a cylinder is pi*r^2*h

    Substituting the values you've been given in, that gives 3.14*4^2*7=351.68

    Next, the hemisphere. The formula for the volume of a sphere is 4/3*pi*r^3

    Substituting the values into this we get:
    4/3*3.14*4^3=267.946....
    However, the shape is a hemisphere, and that is the volume if it were a whole sphere, so we divide that number by 2 to get the volume of the hemisphere.
    Dividing it by 2 gives 133.97 to 2dps.

    Adding 351.68 to 133.97 gives 485.65

    Therefore the volume of the shape isĀ 485.65 in^3
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