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 = $\frac{Diameter}{2}=\frac{12m}{2}=6m$

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

$V=\pi r^2h$

$V=\pi (6m)^2\times (10m)$

$V=360\pi m^3$

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