Concept explainers
In order to make a conical duct a circular sheet of metal is to be cut in the shape of a sector of a circle. It the radius of the sector is 32.5 in. and the arc length of the sector is 264 in., what will be the volume of the cone? Round the answer to 1 decimal place.
The volume of the cone.
Answer to Problem 1A
Weight of the pipe,
Explanation of Solution
Given information:
Calculations:
Volume of the sector is defined as,
Hence, the area of the sector: -
Conclusion:
The volume of cone is
Want to see more full solutions like this?
Chapter 62 Solutions
Mathematics for Machine Technology
Additional Math Textbook Solutions
Basic Technical Mathematics
Numerical Methods for Engineers
Advanced Engineering Mathematics
Fundamentals of Differential Equations (9th Edition)
Introductory Mathematics for Engineering Applications
- The base of a right prism is a triangle whose sides have lengths of 9 in. 15.in, The height of the prism is 10 in. find the a Lateral area. b total area. c volume.arrow_forwardThe exact volume of a right circular cone not shown is 32in3. If the length of the base radius is 4 in., find the length of the altitude of the cone. __________arrow_forwardIf the exact volume of a right circular cylinder is 200cm3 and its altitude measures 8 cm, what is the measure of the radius of the circular base?arrow_forward
- Richard has a fuel tank in the shape of a right circular cylinder. The tank has a height of 6 ft and a radius of length 1.5 ft for its circular base. If 1ft3 of volume contains 7.5 gal of gasoline, what is the approximate capacity of the fuel tank in gallons?arrow_forwardFor a right circular cone, the slant height has a measure equal to twice that of the radius length of the base. If the total area of the cone is 48in2, what are the dimensions of the cone?arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill