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- Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?LAMB is an isosceles trapezoid with midsegment xy.
- If the infinite curve y = e−5x, x ≥ 0, is rotated about the x-axis, find the area of the resulting surface.A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 36 ft3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary. show all workA company is constructing an open-top square- based rectangular tank that will have a volume of 26.5ft^3.What dimensions yield the minimum surface area? Round to the nearest tenth. V= LxWxH 26.5=xtimesxtimesy Surface area x^2+4xy show all work
- Find the dimensions of an open top cylinder that holds 1.5 liters and has minimum surface area. The surface area for this cylinder is S = 2πrh + πr2. Recall 1 liter = 1000 cm3A poster is to contain 300 m^2 of printed matter with margins of 10 cm at the top and 5 cm at each side. Find the overall dimensions if the total surface area of the surface is a minimum. (IILUSTRATE SOLUTION) a. 22.24 x 44.5 cm b. 22.24 x 45.4 cm c. 24.22 x 44.5 cm d. 24.22 x 45.4 cmA company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 445 ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary. Answer Choices: A. 4.5 ft x 4.5 ft x 2.2 ft B. 9.4 ft x 9.4 ft x 0.5 ft C. 5.1 ft x 5.1 ft x 1.7 ft D. 3.5 ft x 3.5 ft x 3.5 ft