Compute the range for the set of data. 10, 10, 10, 18, 29, 29, 29
1 answer:
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Answer:
a) 18 in x 18 in x 18 in
b)
Step-by-step explanation:
a) Let's call 's' the side of the square base and 'h' the height of the solid.
The surface area is given by the equation:
The volume of the solid is given by the equation:
From the volume equation, we have that:
Then, using this value of h in the surface area equation, we have:
To find the side length that gives the minimum surface area, we can find where the derivative of S in relation to s is zero:
The height of the solid is:
b) The minimum surface area is:
Volume (V) of a cylinder is the area of circular base (pi×r^2) times it's length/height (h):
h = 20.5 ft
diameter (d) = 1 1/5 × h, 1 1/5 = 6/5 = 1.20
d = 1.20 × 20.5 = 24.6 ft
radius (r) = 1/2 d = 24.6/2 = 12.3 ft
h = 20.5 ft
diameter (d) = 1 1/5 × h, 1 1/5 = 6/5 = 1.20
d = 1.20 × 20.5 = 24.6 ft
radius (r) = 1/2 d = 24.6/2 = 12.3 ft