Answer to Question #348299 in Geometry for zahirah

Question #348299

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


1
Expert's answer
2022-06-06T13:41:28-0400

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;A=hl; here ll is the length of the circle of the base;

l=2π(d/2);l=2\pi(d/2);

A=2πh(d/2);A=2\pi h(d/2);

d=A/(πh)=88cm2/((22/7)14cm)=2cm;d=A/(\pi h)=88 cm^2*/((22/7)*14 cm)=2 cm;

Answer:

d=2d=2 cm2.


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