Assume that the density of the atmosphere as a function of altitude h (in kilometers) above sea level is ?(h) = ae−bh kg/km3, where a = 1.225 × 109 and b = 0.21. Calculate the total mass M of the atmosphere contained in the cone-shaped region sqrt x2 + y2 ≤ h ≤ 3. (If you enter your answer in scientific notation, round the decimal value to three decimal places. Use equivalent

Assume that the density of the atmosphere as a function of altitude h (in kilometers) above sea level is ?(h) = ae−bh kg/km3, where a = 1.225 × 109 and b = 0.21. Calculate the total mass M of the atmosphere contained in the cone-shaped region sqrt x2 + y2 ≤ h ≤ 3. (If you enter your answer in scientific notation, round the decimal value to three decimal places. Use equivalent

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Question

Assume that the density of the atmosphere as a function of altitude h (in kilometers) above sea level is

?(h) = ae^−bh kg/km³,

where

a = 1.225 × 10⁹

and

b = 0.21.

Calculate the total mass M of the atmosphere contained in the cone-shaped region

sqrt

x² + y²

≤ h ≤ 3.

(If you enter your answer in scientific notation, round the decimal value to three decimal places. Use equivalent rounding if you do not enter your answer in scientific notation.)

M= _kg

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