Question

A sculpture is formed from a cylider resting on top of a cuboid.

The cylinder has a radius 35cm and height 60 cm.
The cuboid measures 70 cm by 70 cm by 130 cm.
The sculpture is made from marble.
The marble has a density of 2.7g/cm^3.
Calculate the total mass of the sculpture in tonnes

Answer 1

70cm by 70cm by 130cm by dividing them age 70cm -70cm +130 =to 130

Answer 2

Based on the volume of the cuboid and the cylinder, the total mass of the sculpture is approximately 2.34033 tonnes.

How to calculate the total mass of the sculpture

To calculate the total mass of the sculpture, find the volume of the cylinder and the cuboid, and then multiply them by the density of the marble. Finally, we convert the mass to tonnes.

Volume of the cylinder:

The volume of a cylinder is given by the formula

V = π
`r^2`h, where r is the radius and h is the height.

V_cylinder = π *
`(35 cm)^2` * 60 cm

Volume of the cuboid:

The volume of a cuboid is given by the formula

V = lwh, where l is the length, w is the width, and h is the height.

V_cuboid = 70 cm * 70 cm * 130 cm

Total volume of the sculpture:

V_total = V_cylinder + V_cuboid

Now, we can calculate the mass of the sculpture using the density of the marble (2.7 g/
`cm^3`):

Mass = Volume * Density

Finally, we convert the mass to tonnes by dividing it by 1000.

Let's calculate the values:

V_cylinder = π *
`(35 cm)^2` * 60 cm

V_cylinder ≈ 230,790
`cm^3`

V_cuboid = 70 cm * 70 cm * 130 cm

V_cuboid ≈ 637,000
`cm^3`

V_total = V_cylinder + V_cuboid

V_total ≈ 230,790
`cm^3` + 637,000
`cm^3`

V_total ≈ 867,790
`cm^3`

Mass = V_total * Density

Mass ≈ 867,790
`cm^3` * 2.7 g/
`cm^3`

Mass ≈ 2,343,033 g

Converting mass to tonnes:

Mass_in_tonnes = Mass / 1000000

Mass_in_tonnes ≈ 2,343,033 g / 1000000

Mass_in_tonnes ≈ 2.34033 tonnes

Therefore, the total mass of the sculpture is approximately 2.34033 tonnes.