Solve the problem.A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the radius of the hemisphere is 10 feet and the height of the silo is h feet, express the volume of the silo as a function of h.
A. V(h) = 4100 ?(h - 10) + 
?
B. V(h) = 100 ?h + 
?h2
C. V(h) = 100 ?(h2 - 10) + 
?
D. V(h) = 100 ?(h - 10) + 
?
Answer: D
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Solve the problem.The length of the ellipse x = a cos t, y = b sin t, 0 ? t ? 2? is Length = 4a
where e is the ellipse's eccentricity.Use Simpson's Rule with n = 6 to estimate the length of the ellipse when a = 2 and e = 
.
A. 11.8956 B. 12.1751 C. 11.2546 D. 12.2097
Find the derivative.r = 20 - ?7 cos ?
A. 
= 7?6 sin ?
B. 
= - 7?6 cos ? + ?7 sin ?
C. 
= 7?6 cos ? - ?7 sin ?
D. 
= 7?6 sin ? - ?7 cos ?
Solve. (6x + 1)(5x - 3) = 0
A. 6, 
B. - 
, - 
C. 
, - 
D. - 
, 
Solve the problem. Assume projectile is ideal, launch angle is measured from the horizontal, and launch is over a horizontal surface, unless stated otherwise.Increasing the initial speed of a projectile by a factor of 8 increases its range by what factor? Assume the elevation is the same.
A. The elevation must be specified before an answer can be found. B. Factor of 2.83 C. Factor of 8 D. Factor of 64