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6 February, 20:03

A volcanic plug shaped like a cone has a diameter of 25 km and a height of 3.9 km.

What is the volume of the plug?

Round your final answer to one decimal place and use 3.14 to approximate pi.

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Answers (2)
  1. 6 February, 20:20
    0
    V≈+637.8 km^3 is right
  2. 6 February, 20:24
    0
    Substitute the values of the radius (r=12.5), the height (h=3.9), and an approximation of Pi (3.14) into the formula to find the volume of the cone.

    V≈ + 1/3 ⋅3.14⋅ 12.5^2 ⋅3.9

    Simplify.

    V≈ + 3.14/3 ⋅ 12.5^2 ⋅3.9

    Divide 3.14 by 3 to get 1.04666667.

    V≈+1.04666667⋅ 12.5^2 ⋅3.9

    Raise 12.5 to the power of 2 to get 156.25.

    V≈+1.04666667⋅156.25⋅3.9

    Multiply 1.04666667 by 156.25 to get 163.54166667.

    V≈+163.54166667⋅3.9

    Multiply 163.54166667 by 3.9 to get 637.8125.

    V≈+637.8125

    V≈+637.8 k m^3
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