5. Find the volume of water in a swimming pool with vertical ends and sides. The length measured at the water line is 50 ft and the breadth is 20 ft. The bottom of the swimming pool is a plane sloping gradually downward so that the depth of the water at one end is 4ft and at the other end is 8 ft.

5. Find the volume of water in a swimming pool with vertical ends and sides. The length measured at the water line is 50 ft and the breadth is 20 ft. The bottom of the swimming pool is a plane sloping gradually downward so that the depth of the water at one end is 4ft and at the other end is 8 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 6CR: The base of a right prism is a regular hexagon whose sides are 8cm in length. The height of the...

See similar textbooks

Related questions

Q: 12. A 20-ft long water trough has ends in the form of isosceles triangles with sides that are 4 ft…

A: Explained below

Q: 4. A gutter having a triangular cross-section is to be made by bending a strip of tin in the middle.…

Q: A rectangle with length 10 and width 6 is shown. The rectangle is continuously rotated around a…

Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Surface area of cylinder=2πr2+2πrl

Q: The volumes of two spheres are in the ratio 64:27. The ratio of their surface areas will be?

A: Volume of sphere =43πr3Surface area of sphere =4πr2

Q: Suppose planet A’s diameter is approximately 6 times planet B’s and both bodies are spheres. What is…

Q: A sphere with radius R is circumscribed around a cylinder. The cylinder has radius r and height that…

Q: What are the dimensions of the base of a rectangular pyramidal frustum with a volume of 4400, a…

A: The volume of the pyramidal frustum is=h3×l×w+lw×l1w1+l1w1 where h=height l1= length of the upper…

Q: 49. A rental truck has a cargo capacity of 288 ft’. A 10-ft pipe just fits resting diagonally on the…

A: Consider that the height of cargo is 6 ft., volume 288 ft2 and length of diagonal of base is 10 ft.…

Q: An architetect wants to design a semicircular tunnel so that two average trucks measuring 8 feet…

A: Given: Dimension of the truck is 8 feet wide and 12 feet tall. Horizontal distance between two truck…

Q: The diagram below shows a right square pyramid with a base that is 6 centimeters (cm) on each side…

A: Volume of pyramid=13Area of basexheight 96=1362 x h h=96 x 36 x 6 h=8 cm

Q: The volume of a pyramid is A us 704 cm^3 and the volume of Pyramid B is 297 cm^3. If the pyramucs…

A: Required answer is given in step 2.

Q: The diagram below shows a right circular cone with a height of 10 millimeters (mm) and a base radius…

A: volume of cone

Q: Sanford, a company that produces pencils, needs to know how much yellow paint to order for their…

A: Lateral surface area of a hexagonal prism is given by- A=6ah where a is face edge while h is height…

Q: 2. A gutter having a triangular cross-section is to be made by bending a strip of tin in the middle.…

Q: The main tank has a radius of 95 feet. What is the volume of the quarter-sphere sized tank rounded…

A: From given, we have, The radius of spherical shape tank = 95feet.

Q: 3. The volume of oblique prism with a pentagon base is 9000 cubic feet. and an edge of 150 feet…

A: Given- The volume =9000 ft3,length of the edge= 150 ft, θ=30°. To Find- The length of the side.…

Q: The ends of a trough are equilateral triangles having sides with length 4 ft. Determine the area of…

A: Equilateral triangle is a triangle with length of sides equal, and all angle equals to 60°. Area is…

Q: 1. A long metal sheet with a width of L meters is formed into a gutter by bending up two of its…

A: A roof gutter is to be made from a long strip of sheet metal L units wide, by bending up equal…

Q: d) A trough for holding water is be formed by taking a piece of sheet metal 60 cm wide and folding…

Q: Your task is to design a rectangular industrial warehouse consisting of three separate spaces of…

Q: 2) The design commonly used in one residential community is of majestic doors and windows. In this…

A: For relative maximum or minimum To maximize or minimize a function f(x) 1st we need to find its…

Q: a regular octagonal prism has its axis inclined at 75 degrees from vertical. the length of this axis…

Q: How tall should the file be to maximize the volume that it can hold?

Q: 7. The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a…

Q: The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a rec-…

A: The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a rec-…

Q: What dimensions will maximize the lateral surface area of an inverted cone, if V = 27 cm³?

Q: The portable building shown below has straight sides that are 2 meters high, a diameter of 6 meters,…

A: Given a portable building which is in the form of cylinder surmounted by a cone. Dimensions of the…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose R and H are the…

Q: 4. A milldam of earth, with plane sloping sides of rectangular bases, 10 m. by 5 m. at the top and…

A: Area of top = b = 10 * 5 = 50 m2 Area of bottom = B = 20 * 10 = 200 m2 Height of…

Q: The cross-section of a trough is an isosceles trapezoid. If the trough is made by bending up the…

Q: A semielliptic archway has a height of 15ft at the center and a width of 50 ft. The 50 ft width…

A: Given Data The height of the semi-elliptic archway is c=15 ft. The width of the semi-elliptic…

Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Given: Let the lenght of of the package= x the radius of of the package= r…

Q: A can of tennis balls is twelve inches high and has a diameter of four inches. The can holds three…

A: Volume left between can and tenis balls = Volume of cylinder - volume of 3 balls.

Q: 7. The army squad tent shown in the figure has a roof with trape- zoidal sides whose bases form a…

Q: What fraction of the volume of the pyramid must be cut off by a plane parallel to the base so that…

A: Here What fraction of the volume of the pyramid must be cut off by a plane parallel to the base…

Q: A cone-shaped block has a slant height of 6 inches and has a radius of 4 inches. What is the minimum…

A: we use formula surface Area of cone = πrl + πr2

Q: A storage hopper is in the shape of a frustum of a pyramid. Determine its volume if the ends of the…

A: A storage hopper is in the shape of a frustum of a pyramid. Determine its volume if the ends of the…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and H are the…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

Q: The shape of the top surface of a table is a trapezium. Find its area, if its parallel sides are 1 m…

Q: A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft…

A: Given: A goat is tethered to a barn by a 12-ft chain. Also the chain is connected to the barn at a…

Q: A storage reservoir with volume 32 m³ needs to be constructed (Figure Q5.c). The reservoir is shaped…

A: A function f(x) will have the maximum value at a point x when the derivative of the function is zero…

Q: 3. An automobile gasoline tank 72 cm long has a cross section which is a trapezoid whose altitude is…

A: Topic:- Menstruation Capacity of a tank or volume of a tank both are similar.

Q: The diagram below shows a right circular cone with a height of 10 millimeters (mm) and a base radius…

Q: The area in the first quadrant bounded by a parabola 12y = x2, the y=axis, and the line y = 3,…

A: Given: Parabola x2=12y y=x212 line y=3 The parabola and line…

Q: 2. The volumes of two similar pyramids are 1331 cm³ and 2744 cm³. Find the ratio of their heights.…

Q: what is the surface area of the new box? What is the difference of the surface areas?

Q: A cylindrical shampoo container is to have volume 750 cm³. Shampoo V%3DTT r?h 759cm3 ) Determine the…

Concept explainers

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.

Question

5. Find the volume of water in a swimming pool with vertical ends and sides. The length
measured at the water line is 50 ft and the breadth is 20 ft. The bottom of the
swimming pool is a plane sloping gradually downward so that the depth of the water
at one end is 4ft and at the other end is 8 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

Data analysis

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Cylinders and Cones$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?
A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases. With dimensions as shown, what is the storage capacity volume of its interior?
A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft from one end of the barn, what is the area of the pasture that the goat is able to graze?
For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is doubled while the height is made half as large in forming a new cone, will the volumes of the two cones be equal?
The base of a right prism is a regular hexagon whose sides are 8cm in length. The height of the prism is 13 cm. Find the a Lateral area b total area c volume.
Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?