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

Answer:

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

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

Answer 2

Answer:

2441 grams

Step-by-step 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**