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Question
A petrol tank is a cylinder of base diameter 21 cm and length 18 cm fitted with conical ends each of axis length 9 cm. Determine the capacity of the tank.
Solution
To find the total capacity of the tank, we have to add the volume of the cylinder and cone.
Diameter of the cylinder, d = 21 cm
Radius of the cylinder, `r=d/2=21/2cm`
Height of the cylinder, h1 = 18cm
Also, radius of cone, `r =21/2cm`
Height of the cone, h2 = 9 cm
now,
Total capacity of the tank= Volume of the cylinder + Volume of 2 cones
`pir^2h_1+2xx1/3pir^2h^2`
`=pir^2(h_1+2/3h_2)`
`=22/7xx(21/2)^2xx(18+2/3xx9)`
`22/7xx(21/2)^2xx24`
= 8316 cm3
Hence the total capacity of the tank is 8316 cm3.
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