a sculpture is formed from a cylinder resting on top of a cuboid the cylinder has a radius of 40 cm and a height of 70cm. the cuboid measures 80cm by 80cm by 140cm. the sculpture is made of steel. the steel has a density of 8.05 g/cm^3 calculate the total mass of the sculpture in tonnes
Answers
The dimensions of the cuboid is, 80×80×140 cm
So, its volume will be cm³
The dimensions of the cylinder is, radius = 40cm, height = 70cm
So, its volume will be cm³
Total volume,
As we know,
Given:
Sculpture is made up of 2 composite figure: a cylinder on top of a cuboid.
The cylinder has a radius of 40 cm and a height of 70 cm.
The cuboid is 80 cm by 80 cm by 140 cm
The sculpture is made of steal.
Steal has a density of 8.05g/cm³
To FInd:
The total mass of the sculpture in tonnes/cm³
Solution
Find the volume of the cylinder:
Volume = πr²h
Volume = π(40)²(70)
Volume = 352000 cm³
Find the volume of the cuboid:
Volume = Length x Breadth x Height
Volume = 80 x 80 x 140
Volume = 896000 cm³
Find the total volume:
Total volume = 352000 + 896000
Total volume = 1248000 cm³
Find the steal mass:
1 cm³ = 8.05g
1248000 cm³ = 1248000 x 8.05
1248000 cm³ = 10,046,400 g/cm³
Convert g/cm³ to tonnes/cm³:
10,046,400 g/cm³ = 10,046,400 ÷ 1000000 tonnes/cm³
10,046,400 g/cm³ = 10.0464 tonnes/cm³
Answer; The total mass is 10.0464 tonnes/cm³