A rectangular tank with a square base, an open top, and a volume of 27,436 ft³ is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. (...) The tank with the minimum surface area has a height of ft and a square base with a side length of ft.

A rectangular tank with a square base, an open top, and a volume of 27,436 ft³ is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. (...) The tank with the minimum surface area has a height of ft and a square base with a side length of ft.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 20CR: If the radius length of one sphere is three times as long as the radius length of another sphere,...

See similar textbooks

Related questions

Q: Find the exact arc length of the curve over the stated interval. 1 1 x==y+y from y = 1 to y = 2…

Q: 2x²-2 limx→-1 ²+3x+2 =

Q: Find the sum of the series, S. Szön n! S = Σ n=0

Q: Use the Chain Rule to calculate the partial derivatives. Express the answer in terms of the…

Q: Determine the area of the region bounded by two the curves f(x) = x² – 22x + 48 and g(x) = 11x + 24.

A: Topic = Area

Q: Find lim_h(x), if it exists. (If an answer does not exist, enter DNE.) (a) (b) (c) X-8 f(x) = 9x² +…

Q: nd a formula for the general term an of the sequence, assuming that the pattern of the first few…

Q: 113 It is known that function f is an increasing function that satisfies f(1) = -3 and f'(1) = 3.…

Q: Find the general solution to 3y''+xy'+y=0 in the form of a power series around the ordinary point…

A: Note: this x0=0 is an ordinary solution. Let us assume that:y=∑n=0∞Cn(x-0)n…

Q: Give your answer accurate to 3 decimal places. A man on a dock is pulling in a boat by means of a…

A: A man on a dock is pulling in a boat by means of a rope attached to the bow of the boat at a point…

Q: If √ (2-4) (2 + 6) dr = Adr 2-4 Bdr +6' then A+B =

Q: Between 2000 and 2010, the use of opioids was exploding in the USA. We use MME (Morphine Milligram…

Q: A 6 foot tall person walks away from a 14 foot tall lamppost at a constant rate of 2 feet per…

Q: An object of mass 2 [kg] is tossed up with upward velocity 10 [m/sec]. Assume the gravitational…

Q: Solve for x in the triangle. Round your answer to the nearest tenth. 40°

A: For angle 40° Base= 6 and hypotenuse= x

Q: what points on the given curve x = 4t3, y = 5 + 60t − 8t2. does the tangent line have slope 1?…

A: Given query is to find the points where slope of tangent is 1.

Q: 2-x 2 +5 1 dx

A: Given, ∫2-xx2+5xdx

Q: dx dt Please give an exact answer. If z³ = x³ + y², = dy -2, = dt dz dt Provide your answer below:…

A: To find derivative.

Q: ey = 25e4x-z+w 10z - w + 3x = -23 8y + 3w - x -z = 5 x+y-z + 4w = -10

A: The objective is to rearrange the equations so that their associated matrix is diagonally…

Q: ← The following table gives the monthly premiums for an insurance policy on people of various ages.…

A: The given data is: age monthly premium 35 127 40 164 45 242 50…

Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: The given equation of the surface: 4x2+2y2+z2=15Let, fx,y,z=4x2+2y2+z2-15.

Q: 01 O-3 O 733 113 It is known that function f is an increasing function that satisfies f(1) = −3 and…

A: Given: f1=-3 f-11=3 we know that f-1'y=1f'x

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

Q: When f (x) = -3x-7 x+3 is graphed, it has an oblique (slant) asymptote at y = ax + b. Find the…

Q: - 1) If / (z −4) (2 + 6) 6 O 10 O 1 O 4 dr = | Adr 2-4 √ + Bdr +6 then A+B = The area under the…

Q: Use a linear approximation to approximate ln(0.98)ln⁡(0.98) as follows: Let f(x)=ln(x) and find the…

A: The given function is f(x)=ln(x)

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

Q: Answer the following Questions: 1. Evaluate the integral using partial fractions method: ²+1)…

Q: explain in your own words how the definite integral can be used to determine at least 2 different…

A: Please see the below picture for detailed solution.

Q: Evaluate the definite integral. JO In 2 tanh x dx

Q: Determine the area of the region bounded by two the curves f(x) = 2²-26z+72 and g(x)= 13z +36.

A: To find the area of the region bounded by the two curves.

Q: Need Help? m/min. Read It Watch It Master It

A: Topic:- application of derivatives

Q: +In+siny) dy = 0 xcos (xy) + 2y] dy 1. (e+ Iny +) dx + 2. [e²y ycos (xy)] dx + [2x²y 3. (10-6y+e-3)…

A: Since you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: Calculate g(b) and g′(b) where g(x) is the inverse of f(x)=(5)/(x+2), where b=5/6.

Q: The Total Revenue is decreasing when the demand is elastic and the price is increased slightly. O…

Q: A farmer finds that if she plants 100 trees per acre, each tree will yield 45 bushels of fruit. She…

Q: {2, y) = tans (2 I

A: Please see the below picture for detailed solution.

Q: 1 √₁2²-4 d x² - 4

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: we will find the required.

Q: Use the arc length formula to find the length of the curve y=√16-x²,0 ≤ x ≤ 4. Check your answer by…

Q: Let f(x,y) = (- (x+y))8. Then 02f дхду Ꭷf Әхдудх 23f дх2ду

A: I am attaching image so that you understand each and every step.

Q: 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, and 66 Find the absolute maximum and…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Solve the initial value problem. Chapter 6, Section 6.2, Go Tutorial Problem 16 Find y(t). O O O y…

A: The given differential equation is; y''-2y'+2y=e-t ; y(0)=0, y'(0)=5.

Q: f(x) is concave down on the interval (a, b) if f'(x) is decreasing on True False (a, b).

Q: Find the linear approximation at x = 0 to show that the following commonly used approximations are…

Q: 32. A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the…

A: So this involves right triangles. The height is always 100. Let the horizontal be x and the length…

Q: The following table gives the monthly premiums for an insurance policy on people of various ages. a.…

A: NOTE: Refresh your page if you can't see any equations. . x=age y=monthly premium x y 35 120…

Q: If $14,000 is invested and interest is compounded quarterly, determine the amount of the investment…

A: A=P1+rnnt ⇒A=Amount at time t⇒P=initial amount ⇒r=rate of interest ⇒t=time in yearsn=compounded…

Q: Suppose the second derivative of f(x) is given by f" (x) = 35x¹ (x+6)5 (x² + 9). Determine the…

Q: ✔ BOTTOM LINE QUESTION Find the antiderivative tan* tdt.

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Question

Show work.

A rectangular tank with a square base, an open top, and a volume of 27,436 ft³ is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.
The tank with the minimum surface area has a height of
ft and a square base with a side length of ft.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

If the radius length of one sphere is three times as long as the radius length of another sphere, how do the surface areas of the spheres compare? How do the volume compare?
Find the volume and the surface area of a closed box that has dimensions of 9 in., 10 in., and 1 ft.
When the length of each edge of a cube is increased by 1 cm, the volume is increase by 61 cm3. What is the length of each edge of the original cube?
A cereal box measures 2 in. by 8 in. by 10 in. What is the volume of the box? How many square inches of cardboard make up its surfaces? Disregard any hidden flaps.