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  1. Total volume of gas is 72 breaths x 108 x pi cc/breath = 7776 x pi cc Assuming the balloon is spherical,  V = 4/3 x pi x r^3 = 7776 x pi cc r ^3 = 7776 x 3/4 cc r = 18 cm

    2 Answers · Science & Mathematics · 12/08/2020

  2. r = 3 when h = 9 r = 0 when h = 0 h = 3r r = (h/3) V = (pi/3) * r^2 * h V = (pi/3) * (1/3)^2 * h^2 * h V = (pi/27) * h^3 dV/dt = (pi/9) * h^2 * dh/dt h = 2 dV/dt = 3 dh/dt = ? 3 = (pi/9) * 2^2 * dh/dt 27 / (4 * pi) = dh/dt

    1 Answers · Science & Mathematics · 12/08/2020

  3. See if this helps.

    1 Answers · Science & Mathematics · 12/08/2020

  4. ...1/2) * (26w + (676w^2 - w^4)^(1/2)) 2A = 26w + sqrt(676w^2 - w^4) w = 10 cm dw/dt = -3 cm /sec 2A = 26 * w + sqrt(676w^2 - w^4) 2 * dA/dt = 26...

    3 Answers · Science & Mathematics · 11/08/2020

  5. Moment of inertia I = ½mr² = ½*6*0.25² = 0.1875 kg.m² Initial angular vel.: ω = 360 rev/min = 6rev/s = 6*2π rad/s = 37.7 rad/s Angular accel: α = Δω/Δt =  (0-37.7)/30 = -1.257 rad/s² Torque: τ...

    1 Answers · Science & Mathematics · 09/08/2020

  6. Let's take a closer look.

    2 Answers · Science & Mathematics · 09/08/2020

  7. SA = 4pir^2 Average rate of increase = (Final Volume - Initial Volume)/Time Taken  4*pi(10^2-5^2)/10  = 94.25 cm ^2/s

    2 Answers · Science & Mathematics · 08/08/2020

  8. ... =>  12/3  =  CE/2 =>  CE  =  (12 * 2)/3  =  8 cm Answer

    4 Answers · Science & Mathematics · 11/08/2020

  9. Volume of a sphere = (4/3)πr³ = (4/3)π(d/2)³ = πd³/6 =  π(6 cm )³/6 = 113.10 cm³ Surface area of sphere = 4πr² = 4π(d/2)² = πd² = π(6 cm )² = 113.10 cm²

    1 Answers · Science & Mathematics · 12/08/2020

  10. ... * 4784N/m * x² = 150 J and so x = 0.25 m or 25 cm 7) nine times greater since spring work is proportional to distance...

    1 Answers · Science & Mathematics · 07/08/2020

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