Question

A cylindrical water tank has a diameter of 12 meters and a height of 10 meters. How much water can the tank hold, in terms of π? A) 180π m3 B) 360π m3 C) 720π m3 D) 1440π m3

Answer 1

Answer: Step-by-step explanation: B - should be your answer The equation you need to solve this is v = πr²h Volume = pi x radius squared x height Your radius is half of your diameter Half of 12 meters is 6 meters 6 meters is your radius Your height is 10 meters Put your values in place in the equation Volume = π x 6² x 10 Raise 6 to the power of 2 π x 36 x 10 Move 36 to the left of π Multiply 10 by 36 360π m³

Answer 2

Answer : The correct option is, (B)
`360\pi m^3`

Step-by-step explanation :

The formula used for volume of cylinder is:

`V=\pi r^2h`

where,

V = volume of cylinder

r = radius of cylinder

h = height of cylinder

Given:

Diameter = 12 m

Height = 10 m

First we have to calculate the radius of cylinder.

Radius of cylinder =
`(Diameter)/(2)=(12m)/(2)=6m`

Now we have to determine the amount of water can the tank hold.

`V=\pi r^2h`

`V=\pi (6m)^2* (10m)`

`V=360\pi m^3`

Therefore, the amount of water can the tank hold is,
`360\pi m^3`