f4-e89f-4473-9fc3-80af08909792/3/tudent Dashboar...Find the volume of liquid needed to fill a sphere of radius R to height h =(Use symbolic notation and fractions where needed.)V=2022-23 Academi...Incorrect10R³27

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Answered: 11 Find the volume of liquid needed to…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A water storage tank has the shape of a cylinder with diameter d ft. It is mounted so that the circular cross- sections are vertical. Assume the depth of the water is h ft: the following figure shows the tank cross- section whose center placed at the origin of xy-plane: h y If the tank length is L, what would be the volume of water in tank? d Hint: The required volume is given by I SV L 2h-d 이어서 "V(E)* #² [V (E) ² - 10² 2 TIL (21 TL (2h-d) √h(d – h) + √/hi(d_h) + f sin + (2√(1-x)) + 16-20/M-) -1 (d-2h)√/h(d-h) d 4 None 72. [244 2h-d TL 2 √h(d-h) + (d-2h) /h(d-h) I z [(2h - d) √/h (d = h) + f sin ¹ (2√/12 -43) 4 14 2012 (107) 2√√/h(d-h) -1 (d-2h) /h(d-h) L + 2 (d-2h)√/h(d-h) 8 √/h(d-h) (d-2h) /h(d-h) 972 [ain 1 (23/AMG4-A1) 4+ (04-2014/408-10] d x² + (h TL [(2h - d.) /h(d = h) + fatin-¹ (2/6d-43)] 2√/h(d-h) (2h-d) 9)] dx
A window of perimeter P (including the base of the arch) is in the form of a rectangle surrounded by a semi-circle. The semi-circular portion is fitted with the colored glass while the rectangular part is fitted with the clear glass that transmits three times as much light per square meter as the colored glass does. What is the ratio for the sides of the rectangle so that the window transmits the maximum light?
a) How much less is the volume of the cone than b) Using R = the volume of the cylinder of the same height? find the volume of the hemisphere, correct to 2 decimal places. (Use n = - 꼭) 7 cm 7 m - 21 cm Tr2h V1 of a cylinder = Tr’h, V2 of a cone V = Tr2h V,– V½ = rr’h - 3 2nr2h 3 11 =2x Simplify m² = 11 x 7x7 cm c) Using t = 3.14 find the volume of the shape. d) Using n= find the volume of the shaded 7 00 space. -14 cm mm -10 mm - V = V = mm3 cm II -6 cm- II 3.
What is the difference in volume between a sphere with radius rr and a sphere with radius 0.3r0.3r?
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Suppose we want to inscribe a cylinder with a circular base into a sphere of radius 2.3. What is the maximum volume the cylinder can have?

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11 Find the volume of liquid needed to fill a sphere of radius R to height h =