Question

What is volume of thi shown below?

Answer 1

13,614cm³

Step-by-step explanation:

There are 2 solid shapes in the object;

A cylinder and A cone

Volume of the cylinder = πr²h

Volume of the cone is 1/3πr³h

h of cone = 25cm

h of cylinder = 35cm

d of the cylinder and cone = 20cm

r = d/2 = 10cm

Volume of the cylinder = πr²h

= π(10)²×35 = 10,996cm³

Volume of the cone = 1/3πr²h

= 1/3π(10)²×25 = 2618cm³

Therefore the total volume of the object above =

Volume of the cylinder + Volume of the cone =

10,996cm³ + 2618cm³ = 13,614cm³

Answer 2

13613.46 cm^3

Step-by-step explanation:

Height of the conical top= 25 cm

Diameter of the conical top = 20 cm

Radius of the conical top = 10 cm

`We\ know\ that,\\Volume\ of\ a\ cone\ = (1)/(3)\pi r^2h\\Hence,\\Volume\ of\ the\ conical\ top\ = (1)/(3)\pi 10^2*25 = (1)/(3) \pi 100*25\\= 833.3\pi\ cm^3`

Height of the cylindrical base = 35 cm

Diameter of the cylindrical base = 20 cm

Radius of the cylindrical base = 10 cm

`We\ know\ that\ ,\\Volume\ of\ a\ cylinder\ = \pi r^2h\\Hence,\\Volume\ of\ the\ cylindrical\ base = \pi* 10*10*35\\=3500\pi\ cm^3`

`Hence,\\Volume\ of\ the\ given\ figure\ = Volume\ of\ the\ conical\ top\ + Volume\ of\ the\ cylindrical\ base\ \\Hence,\\Volume\ of\ the\ given\ figure\ =833.3\pi +3500\pi \\=(3500+833.3)\pi \\=4333.3\pi \\=13613.46 cm^3`