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 . the sculpture is made from steel , the steel has a density of 8.05g/cm*3 . calculate the total mass of the sculpture in tonnes.show all working (HURRY NEED TO SUBMIT ASSIGNMENT ASAP)

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 =  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]          

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