After a windstorm blew the roof off of an old silo in Tinmouth, the owner of the farm decided to demolish what remained and replace it with a new steel silo. The original silo was a 75 feet tall cylinder with a diameter of 20 feet. The roof which also held silage, was half of a sphere. In order to store the same amount of silage in a new silo with a flat roof and on the same foundation, how tall would it need to be?

After a windstorm blew the roof off of an old silo in Tinmouth, the owner of the farm decided to demolish what remained and replace it with a new steel silo. The original silo was a 75 feet tall cylinder with a diameter of 20 feet. The roof which also held silage, was half of a sphere. In order to store the same amount of silage in a new silo with a flat roof and on the same foundation, how tall would it need to be?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: 2) Mr. Prince accidentally burned a perfectly circular black spot into his wall when he lost control…

A: Find your answer below

Q: As part of a larger piece of work, an artist wishes to cast a solid plaster obelisk in the shape of…

Q: Given the window 1.8m, 1.2 m, if you wanted to put molding around the window and straight molding…

A: The figure of the window is not provided. So we reject this question as incomplete. Convert the…

Q: How much fence is needed to enclose a yard with sides that measure 27 1/3ft, 14 1/4ft, 26 2/3ft, 14…

Q: what has a greater volume, a cube with side length 20cm or a sphere with diameter of 20cm?

A: we have a=20 cm FORMULA

Q: A product design team is working on a new drink box, witch will hold 225 cubic cenemeters of juice.…

A: Box can hold 225 cm3 of juice which represents the volume of box. Let the width of box be y cm…

Q: A 0.062in thick sheet of PETE will be vacuum thermoformed to make medicine cups. The cups will have…

A: As given sheet is 0.062 in thick . Therefore ,…

Q: A cat owner has a scratching post that is shaped as a right triangle as shown in the illustration.…

Q: Solve the following: 1. A building contractor is to dig a foundation 12 feet long, 9 feet wide, and…

A: Volume of a cuboid= length*width*height. Also 1 yard= 3 feet.

Q: A shipping container is in the shape of a right rectangular prism with a length of 7 feet, a width…

Q: he sides of a cylindrical silo 13 ft in diameter and 29 ft high are to be painted. Each gallon of…

A: using formula of total surface area cylinder

Question

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: Given

VIEW

Step 2: Explanation

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A property appraiser asks you to measure the total area of two properties that you own. A land surveyor brings measuring tape to your first property and reports that it is a square with sides of length 28.77 m. A different land surveyor goes to your second property but forgets his measuring tape. Instead, he uses a wooden board, which he had previously measured to be roughly 1 meter long. He measures the second property to be a rectangle of length 32 m and width 19 m. What should you report to the property appraiser to properly reflect the uncertainty in your measurements?
A chocolate company has a new candy bar in the shape of a prism whose base is a 1-inch equilateral triangle and whose sides are rectangles that measure 1 inch by 2 inches. These prisms will be packed in a box that has a regular hexagonal base with 2-inch edges, and rectangular sides that are 6 inches tall. How many candy bars fit in such a box? PLEASE SHOW DRAWINGS AND DIAGRAMS. Be clear.
A snow man is made using three balls of snow with diameters 30 cm,40 cm. and 50 cm. If the head weighs about 6 kg, find the total weight of the snow man. (Ignore the arms, eyes, nose and mouth.)
A container in the shape of a cuboid is 10 cm long and 9 cm wide. If the volume of the container is 540 cm³, what is the height of the container in cm?
The exterior dimensions of a freezer are 48 inches by 36 inches by 24 inches, and it is advertised as being 27 cu ft. Is the advertised volume correctly stated? Yes or No?
There is a 4- inch by 5-inch photo that is to be enlarged to fit a window on the sportspage of the newspaper. The window column is 18 picas wide. Without cropping,what will be the new depth?
A square-based prism is used as the structure for a tunnel. The tunnel itself is a cylinder cut out of this prism. The face of the cylinder being cut out from the tunnel is 3.4 metres in diameter, while the square based prism structure has the following properties: w = 7 metres, and b = 9.4 metres. the outside of the tunnel needs to be painted. Determine the total area of the structure that needs to be painting, considering that one side is placed on the ground and thus cannot be painted. Round to the nearest square metre.
A triangular horse corral has one side measuring 27.7 ft., a second side measuring 45.6 ft., and a third side measuring 39.5 ft. How much fencing is required to surround the corral?
A square building is 300 ft in length and width. A copper pipe purchased for $2.25/ ft is placed from one corner to the corner diagonally opposite. How long is the pipe and How much did the pipe cost?
A meteorologist measured the eyes of hurricanes to be 13 to 18 miles in diameter during one season. What is the area of the land underneath the eyes of the hurricanes to the nearest tenth of a square mile? Work must be shown to get credit for this problem!
a cistern is to be built of cement. The walls and bottom will be 1 ft thick. The outer height will be 20 ft. The inner diameter will be 10 ft. To the nearest cubic foot, how much cement will be needed for the job?
A tank for storing natural gas is in the shape of a right circular cylinder. The tank is approximately 380 feet high and 250 feet in diameter. The sides and top of the cylinder must be coated with a special primer. How many square feet of surface must be painted?