Question

Rain which falls onto a flat rectangular surface of length 6 m and width 4 m is collected in a cylinder of internal radius 20 cm. What is the depth of water in the cylinder after a storm in which 1 cm of rain fell? ​

Answer 1

`\large\pink{\sf{Given:-}}`

• Length = 6m
• Width = 4m
• Height = 1cm
• Internal Radius of cylinder = 20 cm

`\large\purple{\sf{Solution:-}}`

`\tt \: volume = length * width * height`

`\tt \: volume = 6 * 4 * 1`

`\tt \: volume = 24m ^(3)`

Volume of water in cylindrical vessel;

`\sf\pi \: r ^(2) h`

• r = 20
• h = ?
• π = 22/7

`\sf \: h = (volume)/(\pi r^(2) )`

`\sf \: h = (24 * 7)/(22 * 20 * 20)`

`\sf \: h = 0.190 \: cm`

Therefore, The height of cylinder will be 0.190 I'm approximately...

Answer 2

• 1.91 m

Explanation:

The volume of water collected:

• V = lwh
• V = 6 m * 4m * 1 cm = 600* 400* 1 cm³ = 240000 cm³

Volume of cylinder:

• V = πr²h

We have the values of V and r, find the value of h:

• h = V/πr²
• h = 240000 /(3.14*20²) = 191 cm = 1.91 m