Answer to Question #348299 in Geometry for zahirah

Question

The curved surface area of a right circular cylinder of height 14 cm is 88 cm². Find the diameter of the base of the cylinder. (Use p = 22/7

Answer 1

Given:

A=88 cm² is the curved surface area of the cylinder;

h=14 cm² is the height of the cylinder.

Find:

d is the diameter of base of the cylinder.

Solution:

The cylinder is right circular, so

$A=hl;$ here $l$ is the length of the circle of the base;

$l=2\pi(d/2);$

$A=2\pi h(d/2);$

$d=A/(\pi h)=88 cm^2*/((22/7)*14 cm)=2 cm;$

Answer:

$d=2$ cm².