Q. 84.2( 5 Votes )
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.
Answer :
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
Rate this question :
Surface Area and Volumes43 mins
RD Sharma | Imp Concepts : Surface Area And Volumes43 mins
RD Sharma | Surface Area And Volumes43 mins
IMP Formula's and Qs For Surface Area and Volumes45 mins
RD Sharma | Imp. Qs. From Surface Area And Volumes47 mins
Quiz | Surface Area and Volumes42 mins
Surface Area and Volume49 mins
Areas Related to Circle36 mins
Quiz | Areas Related to Circles43 mins
Foundation | Let's Understand Some High Level Concepts41 mins
The height and the slant height of a cone are 12 cm and 20 cm respectively. Find its volume. (π = 3.14)
Gujarat Board MathematicsIf the slant height of a cone is 18.7 cm and the curved surface area is 602.8 cm2, find the volume of cone. (π = 3.14)
Gujarat Board MathematicsHow 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?
Gujarat Board MathematicsA solid has hemi - spherical base with diameter 8.5 cm and it is surmounted by a cylinder with height 8 cm and diameter of cylinder is 2 cm. Find the volume of this solid. (π = 3.14)
Gujarat Board MathematicsThe spherical balloon with radius 21 cm is filled with air. Find the volume of air contained in it.
Gujarat Board MathematicsA 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.
Gujarat Board MathematicsHow many litres of milk can be stored in a cylindrical tank with radius 1.4 m and height 3 m?
Gujarat Board MathematicsA hemispherical pond is filled with 523.908 m3 of water. Find the maximum depth of pond.
Gujarat Board MathematicsIf the surface area of a spherical ball is 1256 cm2, then find the volume of sphere. (Take π = 3.14)
Gujarat Board MathematicsThe volume of sphere is in 4/3 π cm3. Then its diameter is ………. cm.
Gujarat Board Mathematics