Question

A cylinder shaped water tank has a radius of 5 m and a height of 10 m.

What volume of water does the tank contain when it is 75% full?

Use 3.14 to approximate pi.

Enter your answer in the box.

m³

Answer 1

Data:
v (volume) = ?
h (height) = 10 m
r (radius) = 5 m
Adopting:
`\pi \approx 3.14`

Formula:

`V = h* \pi *r^2`

Solving:

`V = h* \pi *r^2`

`V = 10*3.14*5^2`

`V = 10*3.14*25`

`\boxed{V=785\:m^3}}\end{array}`

If:

785 m³ → 100%
y m³ → 75%

Solving: Rule of three (directly proportional)

`(785)/(y) = (100)/(75)`
multiply cross

`100*y = 785*75`

`100y = 58875`

`y = (58875)/(100)`

`\boxed{\boxed{y = 588.75\:m^3}}\end{array}}\qquad\quad\checkmark`

Answer:
The volume of water that the tank contains when it is 75% full is 588.75 m³