Question

$\huge \fbox \blue{Question}$


Water is flowing at the rate of 15km/hr. through a pipe of diameter 14cm into a cuboidal pond which is 50m long and 44m wide. In what time will the level of water in the pond rise by 21cm ?

Kindly give appropriate answer along with proper steps ! ​

Answer 1

✯Given✯

➔ Speed of the water flowing = 15Km/hr

➔ Diameter of pipe = 14cm = ¹⁴⁄₁₀₀cm

✯To find✯

➔  In what time will the level of water in the pond rise by 21cm

✯Solution✯

➔ Diameter = ¹⁴⁄₁₀₀cm

➔ Radius = Diameter/2 = ⁷⁄₁₀₀cm

➔Let the level of water in the pond rises by 21 cm in x hours.

➔ Volume of water flowing out of pipe in 1 hour

➔ Volume of cylinder ( As pipe ) = ²²⁄₇ × ⁷⁄₁₀₀ × ⁷⁄₁₀₀ × 15000

➔ Volume of cylinder ( As pipe ) = 231m³

➦Volume of water flowing out of the pipe in x hours = 231 x m³

➦ Volume of water in the cuboidal pond = l × b × h

➦ Volume of water in the cuboidal pond = 50 × 40 × ²¹⁄₁₀₀

➦ Volume of water in the cuboidal pond = 462m³

⇒According to the question :-

• Volume of water flowing out of the pipe in t hours = Volume of water in the cuboidal pond

∴ 231x = 462

∴ x = ⁴⁶²⁄₂₃₁

∴ x = 2

✲ The required time will be 2 hours ✲