A horizontal cylindrical tank with hemispherical ends (dimensions are

L=12ft,D=6ft

;

R=(D)/(2)

) is used to store a liquid. The formulas for volume stored versus height for the cylinder and the sphere are given below (you add these two together to get the total volume stored). Use solver to determine for what liquid level h (in

ft

) does the tank store exactly 1000 gallons? In addition, develop a plot of liquid volume (gal) versus liquid level h (ft).\

V_(CIL)=[R^(2)cos^(-1)((R-h)/(R))-(R-h)\\\\sqrt(2Rh-h^(2))]*L

\

V_(SPH)=(\\\\pi h^(2)(3R-h))/(3)

2) A horizontal cylindrical tank with hemispherical ends (dimensions are L=12ft,D=6ft; R=D/2 ) is used to store a liquid. The formulas for volume stored versus height for the cylinder and the sphere are given below (you add these two together to get the total volume stored). Use solver to determine for what liquid level h (in ft ) does the tank store exactly 1000 gallons? In addition, develop a plot of liquid volume (gal) versus liquid level h (ft)