samera30sabanovic samera30sabanovic

04-06-2021
Mathematics

contestada

help the volume of the roller is 576cm. Calculate the height and area of the roller if its radius is 8cm.

Respuesta :

samuelonum1 samuelonum1

09-06-2021

Answer:

143.7cm^2

Step-by-step explanation:

Given data

Volume= 576cm^3

Radius= 8cm

The expression for the volume of cylinder is

V= πr^2h

substitute

576= 3.142*8^2*h

576= 3.142*64*h

576= 201.088h

h= 576/201.088

h=2.86cm

The formula for finding the lateral area of a right circular cylinder is:

A=2πrh

substitute

A= 2*3.142*8*2.86

A= 143.7cm^2

Hence the area is 143.7cm^2

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