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.

Respuesta :

Answer-

[tex]\boxed{\boxed{\text{Mass}=10.0447256\ ton}}[/tex]

Solution-

The dimensions of the cuboid is, 80×80×140 cm

So, its volume will be [tex]=80\times80\times140=896000[/tex]cm³

The dimensions of the cylinder is, radius = 40cm, height = 70cm

So, its volume will be [tex]\pi r^2h=\pi\times40^2\times70=351792[/tex]cm³

Total volume,

[tex]V=V_{\text{Cylinder}}+V_{\text{Cuboid}}\\\\=351792+896000\\\\=1247792\ cm^3[/tex]

As we know,

[tex]\Rightarrow \text{Density}=\dfrac{\text{Mass}}{\text{Volume}}[/tex]

[tex]\Rightarrow \text{Mass}=\text{Density}\times \text{Volume}[/tex]

[tex]\Rightarrow \text{Mass}=8.05\times 1247792=10044725.6\ g[/tex]

[tex]\Rightarrow \text{Mass}=10044725.6\times 10^{-6}=10.0447256\ ton[/tex]


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

for 5/5 marks