Question

The volume of a cylindrical pot is divided by its curved surface area, the result is 7 and the total sum of the radius and the height of the cylindrical pot is 35 cm, then, what is the value of height?

1. 20 cm
2. 21 cm
3. 24 cm
4. 25 cm

Answer 1

Correct Answer - Option 2 : 21 cm

Given:

Volume/(curved surface area) = 7

Radius + Height = 35 cm

Formula Used:

Volume of cylindrical pot = πr²h

Curved Surface Area = 2πrh

Calculation:

According to question,

⇒ πr²h/2πrh = 7

⇒ r/2 = 7

⇒ r = 14 cm

Again, r + h = 35

⇒ 14 + h = 35

⇒ h = 35 – 14

⇒ h = 21 cm

∴ The height of the cylindrical pot = 21 cm