Q8 of 48 Page 264

The capacity of a cylindrical tank at a petrol pump is 57750 litres. If its diameter is 3.5 m, find the height of cylinder.

Given.


Capacity of petrol tank = 57750 litres


Diameter of tank = 3.5 m


Formula used/Theory.


Volume of cylinder = πr2h


1m3 = 1000 litres


Radius of tank =


= = 1.75


Let’s take height of tank to be h


Volume of cylinder = πr2h


= × 1.75 × 1.75 × h


9.625 × h m3


Volume in litres = 57750 litres


1 m3 = 1000 litres


⇒ Volume = 9.625 × h × (1 m3)


= 9.625 × h × 1000 litres


57750 = 9625 × h


h = = 6 m


More from this chapter

All 48 →
6

A playing top is made up of steel. The top is shaped like a cone surmounted by a hemisphere. The total height of top is 5 cm and the diameter of the top is 3.5 cm. Find the volume of the top.

 7

How many litres of petrol will be contained in a closed cylindrical tank with hemisphere at one end having radius 4.2 cm and total height 27.5 cm?

 9

A hemispherical pond is filled with 523.908 m3 of water. Find the maximum depth of pond.

 10

A gulab - jamun contain 40% sugar syrup in it. Find how much syrup would be there in 50 gulab - jamuns, each shaped like a cylinder with two hemispherical ends with total length 5 cm and diameter 2.8 cm.