(a) The area of a circle is (9r²+ 48rs + 64s)7T cm? where r and s are positive numbers. Express, interms 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 thediameter 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.

Question-(a) Given, Area of a circle is we know that, Formula for area of circle is where, R is…

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.

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.

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

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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.

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