Mathematics: Aglass cylinder has a diameter of 7 inches and a height of 1.5 inches. glass had a density of 2.58 grams per cubic centimeter. find the mass of the cylinder to the nearest gram.

3.75x is less than or equal to 20...

Aglass cylinder has a diameter of 7 inches and

SOFIA3402

10.03.2022

The mass of the cylinder is $149\ g$

Step-by-step explanation:

step 1

Find the volume of the cylinder

The volume is equal to

$V=\pi r^{2} h$

we have

$r=7/2=3.5\ in$ ----> the radius is half the diameter

$h=1.5\ in$

assume

$\pi=3.14$

substitute

$V=(3.14)(3.5)^{2}(1.5)$

$V=57.70\ in^{3}$

step 2

Find the mass

we know that

The density is equal to the mass divided by the volume

D=m/V

Solve for the mass

m=D*V

substitute the values

$m=(2.58)*(57.70)=149\ g$

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