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प्रश्न
A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base. The depth of the cylinder is `14/3` m and the diameter of hemisphere is 3.5 m. Calculate the volume and the internal surface area of the solid.
उत्तर
Given that:
Radius of the same base `r=3.5/2=1.75 m`
Height of the cylinder `h=14/3m`
The volume of the vessel is given by
`V=pir^2h+2/3pir^3`
`=3.14xx1.75^2xx14/3+2/3xx3.14xx1.75^3`
= 56 m3
The internal surface area of the solid is
`S=2pir^2+2pirh`
`=2xx3.14xx1.75^2+2xx3.14xx1.75xx14/3`
= 70.51 m2
Hence, the volume of the vessel and internal surface area of the solid is V = 56 m3, S= 70.51 m2
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