emv5
contestada

NEED ANSWERED ASAP!

Hannah has a cone made of steel and a cone made of granite.
Each cone has a height of 10 centimeters and a radius of 4 centimeters
- The density of steel is approximately 7.75 grams per cubic centimeter
The density of granite is approximately 2.75 grams per cubic centimeter
What is the difference, to the nearest gram, of the masses of the cones?

Need full equation and answer on how to do this question.​

Respuesta :

absor201

The difference between masses of both cones is: 838 grams

Step-by-step explanation:

As both cones have same height and radius. Both will have same volume

Here

r=4 cm

h= 10 cm

The volume is given by:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

Putting values

[tex]V=\frac{1}{3}*\frac{22}{7}*(4)^2*10\\V=\frac{22}{21}*16*10\\V=167.62\ cm^3[/tex]

Mass of Steel Cone:

[tex]M_s=Density\ of\ steel*Volume\\=7.75*167.62\\=1299.055\ grams[/tex]

Mass of Granite Cone:

[tex]M_g=Density\ of\ granite*Volume\\=2.75*167.62\\=460.955\ grams[/tex]

Difference between masses of both cones

[tex]D = M_s-M_g\\=1299.055-460.955\\=838.1\ grams[/tex]

Rounding off to nearest gram: 838 grams

The difference between masses of both cones is: 838 grams

Keywords: Volume, Mass

Learn more about volume at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

Otras preguntas