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A parabolic tunnel has a width of 20 feet and a height of 12 feet at the center. Find the cross-sectional area of the parabolic tunnel.

Respuesta :

The cross-sectional area of the parabolic tunnel is 31415.93 ft²

What is a parabolic tunnel?

A parabolic tunnel assumes the shape of a hemisphere and the cross-sectional area of a hemisphere can be calculated by using the formula:

Area of a parabolic tunnel = πa²

Since the parabolic tunnel assumes the shape of a hemisphere:

  • Radius of the hemisphere from the center =  a = 20/2 = 10
  • Height of the hemisphere  r = 12

Area of a parabolic tunnel = πa²

Area of a parabolic tunnel = π(100)²

Area of a parabolic tunnel = 31415.93 ft²

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