Question

a glass 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.

Answer 1

2441 grams

Explanation:

convert 7 and 1.5 inches into centimeters (2.54 centimeters per inch) so now you use half of 8.89 (7 * 2.54 = 2441) multiplied by 3.81

you find the area of the cylinder first by using
`\pi r^2*h` which should give you 945.97219

then plug it into the density formula, 2.58= mass/945.97219

that should give you mass=2440.61

and if you round it to the nearest gram, it's 2441

**THIS IS THE CORRECT ANSWER**

Answer 2

The mass of the cylinder is
`149\ g`

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`