Question

( URGENT ) a water tank is a compound shape consisting of a cylinder and a inverted cone the cylinder has a diameter of 8 meters and a height of 6 meters the cone has a diameter of 8 and a height of 3

Answer 1

The volume of the tank in cubic meters is 351.68

Explanation:

Had homework with this problem before.

Answer 2

Volume of the tank is
`351.68\ m^3`.

Explanation:

Given:

Diameter of Cylinder = 8 m

radius of cylinder =
`(1)/(2)* 8 =4\ m`

Height of cylinder = 6 m

Diameter of cone = 8 m

radius of cone =
`(1)/(2)* 8 =4\ m`

Height of the cone = 3 m

We need to find the volume of complete tank.

Solution:

First we will find the volume of cylinder.

Volume of cylinder is given by π times square of the radius times height.

framing in equation form we get;

Volume of cylinder =
`\pi * 4^2 * 6 = 301.44\ m^3`

Now we will find the volume of cone.

volume of cone is given by
`(1)/(3)` times π times square of the radius times height.

framing in equation form we get;

Volume of cone =
`\frac13 * \pi * 4^2 * 3 = 50.24 \ m^3`

Now we can say that;

Volume of complete tank is equal sum of Volume of cylinder and Volume of cone.

framing in equation form we get;

Volume of complete tank =
`301.44+50.24 = 351.68\ m^3`

Hence Volume of the tank is
`351.68\ m^3`.