Respuesta :
Answer:
 Total mass of the sculpture is 11.07 tons .
Step-by-step explanation:
Formula
[tex]Volume\ of\ a\ cylinder = \pi r^{2} h[/tex]
Where r is the radius and h is the height .
Volume of a cuboid = Length × Breadth × Height
As given
A sculpture is formed from a cylinder resting on top of a cuboid.
The cylinder has a radius 40cm and height 70cm. the cuboid measures 80cm by 80cm by 140cm .
[tex]\pi = 3.14[/tex]
Total volume = Â Volume of a cylinder + Volume of a cuboid
 [tex]Total\ volume = 3.14\times 40\times 40\times 70 + 80\times 80\times 140[/tex]
Total volume = 351680 + 896000
           = 1247680 cm³
Formula
[tex]Density = \frac{Mass}{Volume}[/tex] Â Â Â Â Â
As given
The sculpture is made from steel , the steel has a density of 8.05g /cm³ .
[tex]8.05 = \frac{Mass}{1247680}[/tex]
Mass = 8.05 × 1247680
      = 10043824 g
As 1 tons = 907185 grams
[tex]1\ grams = \frac{1}{907185}\ tons[/tex]
Convert 10043824g into tons .
[tex]10043824\ grams = \frac{10043824}{907185}\ tons[/tex]
                   = 11.07 tons
Therefore the  total mass of the sculpture is 11.07 tons .
Answer:
Try this:
Step-by-step explanation:
80×80×140=896000cm³
π×40²×70=351858.3772cm³
896000+351858.3772=1247858.377cm³
density=mass/volume
so mass=density*volume
8.05×1247858.377=10045259.94 grams
so it is 10.045259.94 tonnes