62. Designing a plumb bob Having been asked to design a brassplumb bob that will weigh in the neighborhood of 190 g, you de-cide to shape it like the solid of revolution shown here. Find theplumb bob's volume. If you specify a brass that weighs 8.5 g/cm³,how much will the plumb bob weigh (to the nearest gram)?у (ст)y = V36 – x?1291х (ст)

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Answered: 62. Designing a plumb bob Having been…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter10: Measurement, Area, And Volume

Section10.8: Volumes Of Pyramids And Cones

Problem 13E

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The container is in the shape of a frustum of a right circular cone. The smaller base area is 426 square centimeters and the larger base area is 876 square centimeters. The height is 29.5 centimeters. Compute the capacity of the container in liters. One liter contains 1000 cubic centimeters. Round the answers to the nearest tenth liter.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. The frustum of a right circular cone has a larger base area of 40.0 square centimeters and a smaller base area of 19.0 square centimeters. The height is 22.0 centimeters. Find the volume. Round the answer to the nearest cubic centimeter.
A piece in the shape of a frustum of a pyramid with regular octagon bases is 23.84 centimeters high. The length of each side of the larger base is 8.17 centimeters, and the length of each side of the smaller base is 6.77 centimeters. If a side (s) of a regular octagon is known, its area (A) can be computed by the formula A4.828s2 . Determine the volume of the piece. Round the answer to the nearest cubic centimeter.
In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air per minute. (a) Determine the ventilation rate per child in a full classroom. (b) Estimate the air space required per child. (c) Determine the minimum number of square feet of floor space required for the room when the ceiling height is 30 feet.
The volume V of a cone with height h and diameter d is given by V=0.2618d2h . What is the volume of a cone with diameter 72.4 cm and height 122.5 cm? Round the answer to 2 decimal places.
(a) Determine the dimensions of the least expen- sive cylindrical can that will hold 100 cubic inches if the materials cost 2¢, 5¢and 3¢, re- spectively, for the top, bottom and sides. (b) How do the dimensions of the least expensive can change if the bottom material costs more than 5¢per square inch? I need help with question (b) please
1. Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house, which is on the shoreline and 6 kilometers from the point on the shoreline nearest Angelo. If he can row at 6 kph and run at 10 kph, how should he proceed in order to get to his house in the least amount of time?2. A closed box with a square base is to have a volume of 2000 cm3. The material for the top and bottom of the box costs P30 per square centimeter and the material for the sides cost P15 per square centimeter. Find the dimensions of the box so that the total cost of material is the least possible and all its dimensions do not exceed 20 cm.3. Find the radius and height of the right circular cylinder of largest volume that can be inscribed in a right circular cone with radius 4 cm and height 3 cm.4. An offshore oil well located at a point W that is 5 km from the closest point A on a straight shoreline. Oil is to be piped from W to a shore point B that is 8 km from A by piping it…
a) Help determine the dimensions of the least expensive cylindrical that can hold 100 cubic inches if the materials cost 2¢, 5¢ and 3¢, respectively, for the top, bottom and sides.b) Help find how do the dimensions of the least expensive can change if the bottom material costs more than 5¢ per square inch?
17. In a chemistry laboratory there are three containers. One cone-shaped, one spherical and one cylindrical. They are all known to have the same radius and the diameter of the sphere to be equal to the height of the cone and cylinder. Knowing that the radius of the sphere is 6 cm, calculate the difference between the volume of the cylinder and the volume of the cone.
The head of a steel meat tenderizer is a cube with a side length of 5 centimeters. One face of the cube contains 25 square pyramids that protrude from the surface. The side length of the base of each square pyramid is 0.5 centimeter, and the height of each is 0.5 centimeter. The mass of the head of the tenderizer is 1,000 grams. What is the density of the steel? Round to the nearest hundredth.
Answer B b. how do the dimensions of the least expensive can change if the bottom material cost more tha 5 cent per square inch? 7. (a) Determine the dimensions of the least expesive cylindrical can the will hold 100 cubic inches if the materials cost 2 cent , 5 cent and 3 cent, respectively, for the top, bottom ad sides. b. how do the dimensions of the least expensive can change if the bottom material cost more tha 5 cent per square inch?
A machinist creates a solid steel part for a wind turbine. The part has a volume of 1,015 cubic centimeters. Steel can be purchased for $0.35 per kilogram and has a density of 7.95 g/cm3. If the machinist makes 500 of these parts, what is the total cost of the steel?

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