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.
Advertisement Remove all ads
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.
Concept: Volume of a Combination of Solids
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads