Q:

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 centimeterThe density of granite is approximately 2.75 grams per cubic centimeterWhat is the difference, to the nearest gram, of the masses of the cones?Need full equation and answer on how to do this question.​

Accepted Solution

A:
The difference between masses of both cones is: 838 gramsStep-by-step explanation:As both cones have same height and radius. Both will have same volumeHerer=4 cmh= 10 cmThe 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 gramsThe difference between masses of both cones is: 838 gramsKeywords: Volume, MassLearn more about volume at:brainly.com/question/2048256brainly.com/question/2115122#LearnwithBrainly