The area of a circle is (9r + 48rs + 64s³)n cm² where r and s are positive numbers. Express, in terms of r, s and a where necessary, (i) the radius of the circle, (ii) the circumference of the circle. Suppose that the circle is the base of a solid cylinder and the height of the cylinder is twice the diameter of its base. Find, in terms of r, s and ë, i) the volume of the cylinder, i) the total surface area of the cylinder.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
icon
Related questions
Question
(a) The area of a circle is (9r²+ 48rs + 64s)7T cm? where r and s are positive numbers. Express, in
terms of r, s and a where necessary,
(i) the radius of the circle,
(ii) the circumference of the circle.
(b) Suppose that the circle is the base of a solid cylinder and the height of the cylinder is twice the
diameter of its base. Find, in terms of r, s and r,
(i) the volume of the cylinder,
(ii) the total surface area of the cylinder.
Transcribed Image Text:(a) The area of a circle is (9r²+ 48rs + 64s)7T cm? where r and s are positive numbers. Express, in terms of r, s and a where necessary, (i) the radius of the circle, (ii) the circumference of the circle. (b) Suppose that the circle is the base of a solid cylinder and the height of the cylinder is twice the diameter of its base. Find, in terms of r, s and r, (i) the volume of the cylinder, (ii) the total surface area of the cylinder.
Expert Solution
steps

Step by step

Solved in 6 steps with 15 images

Blurred answer
Knowledge Booster
Area
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning