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Mathematics

1 answer:

antoniya [11.8K]3 years ago

6 0

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:

$V=\frac{1}{3}\pi r^2h$

Putting values

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

Mass of Steel Cone:

$M_s=Density\ of\ steel*Volume\\=7.75*167.62\\=1299.055\ grams$

Mass of Granite Cone:

$M_g=Density\ of\ granite*Volume\\=2.75*167.62\\=460.955\ grams$

Difference between masses of both cones

$D = M_s-M_g\\=1299.055-460.955\\=838.1\ grams$

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:

#LearnwithBrainly

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