Mathematics: Afactory worker is employed to make t-shirts. on average each t-shirt takes 3 1/2 minutes for cutting, 2 4/5 minutes for sewing and 4 1/6 minutes for finishing. what is the total time required to make one t-shirt?

Afactory worker is employed to make t-shirts.

timothytomas2046

05.04.2023

$V=942\ mm^{3}$

Step-by-step explanation:

Hello

I think I can help you with this

the Volume of a cylinder is given by:

$V=\pi *radius^{2} *h$

in these exercises be careful with the units of measure, they must be the same units of length in this case mm

Step 1

convert 1.2 cm into mm

using a rule of three

1 cm ⇔ 10 mm

1.2 cm ⇔x mm?

$\frac{1\ cm}{10\ mm}=\frac{1.2 cm}{x}\\solve\ for\ x\\\\\frac{x*1\ cm}{10\ mm}=1.2 cm\\x=\frac{1.2\ cm*10\ mm}{1\ cm} \\x=12\ mm\\$

so, height is 12 mm

Step 2

put the values into the equation

Let

radius= 5 mm

height= 12 mm

$V=\pi *radius^{2} *h\\V=\pi *(5\ mm)^{2} *12\ mm\\V=\pi*300\ mm^{3}\\V=942.47\ mm^{3}$

Have a nice day

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