A tent has cylindrical surmounted by a conical roof The radius of the cylindrical base is 20 m - Maths - Surface Areas and Volumes

Question

A tent has cylindrical surmounted by a conical roof The radius of
the cylindrical base is 20 m The total height of the tent is 6 3 m
and height of cylindrical portion is 4 2 m, find the volume and
surface area of tent

Ashwini Kumar · Accepted Answer

Dear Student,

Please find below the solution to the asked query:
Radius of cylindrical base=20 mHeight of cylidrical portion=4
2 mVolume of cylindrical portion=πr2h=227×202×4
2=22×400×0
6=5280 m3Curved surface area of cylindrical portion=2πrh=2×227×20×4
2=44×20×0
6=528 m2Total height of tant=6
3 mHeight of conical portion=6 3-4 2=2
1 mRadius of conical portion=20 mVolume of conical portion=13πr2h=13×227×20×20×2
1=880 m3Slant height=2 12+202=4 41+400=404 41=20
11 mCurved surface area of conical portion=πrl=227×20×20
11=1264
06 m2Volume of tant=5280 m3+880 m3=6160 m3surface area of tant=528 m2+1264
06 m2=1792 m2

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A tent has cylindrical surmounted by a conical roof. The radius of the cylindrical base is 20 m. The total height of the tent is 6.3 m and height of cylindrical portion is 4.2 m, find the volume and surface area of tent.