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.show all working (HURRY NEED TO SUBMIT ASSIGNMENT ASAP)

Answer 1

Try this:

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

Answer 2

Total mass of the sculpture is 11.07 tons .

Explanation:

Formula

`Volume\ of\ a\ cylinder = \pi r^(2) h`

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 .

`\pi = 3.14`

Total volume = Volume of a cylinder + Volume of a cuboid

`Total\ volume = 3.14* 40* 40* 70 + 80* 80* 140`

Total volume = 351680 + 896000

= 1247680 cm³

Formula

`Density = (Mass)/(Volume)`

As given

The sculpture is made from steel , the steel has a density of 8.05g /cm³ .

`8.05 = (Mass)/(1247680)`

Mass = 8.05 × 1247680

= 10043824 g

As 1 tons = 907185 grams

`1\ grams = (1)/(907185)\ tons`

Convert 10043824g into tons .

`10043824\ grams = (10043824)/(907185)\ tons`

= 11.07 tons

Therefore the total mass of the sculpture is 11.07 tons .