Question

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.

Answer 1

Answer-

$\boxed{\boxed{\text{Mass}=10.0447256\ ton}}$

Solution-

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

So, its volume will be $=80\times80\times140=896000$cm³

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

So, its volume will be $\pi r^2h=\pi\times40^2\times70=351792$cm³

Total volume,

$V=V_{\text{Cylinder}}+V_{\text{Cuboid}}\\\\=351792+896000\\\\=1247792\ cm^3$

As we know,

$\Rightarrow \text{Density}=\dfrac{\text{Mass}}{\text{Volume}}$

$\Rightarrow \text{Mass}=\text{Density}\times \text{Volume}$

$\Rightarrow \text{Mass}=8.05\times 1247792=10044725.6\ g$

$\Rightarrow \text{Mass}=10044725.6\times 10^{-6}=10.0447256\ ton$