Question

a building in the form of a cylinder of radius 4m and height 6m.it is surmounted by a cone of height 3cm and has the same radius as that of the cylindrical portion.find the volume of the building and the outer surface area of the building(without the base).
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Answer 1

Answer:

Volume of building = volume of cylinder + volume of cone

. . . . . . . . . . . . . . . . . = ( pie) r^3 h/3 + (pie) r^2*h

. . . . . . . . . . . . . . . . . = (pie) 64*6 /3 + (pie) 16*3

. . . . . . . . . . . . . . . . . = (pie) 128 + (pie) 48

. . . . . . . . . . . . . . . . . = 176(pie)

Outer surface area of building = surface area of cylinder + surface area of cone

. . . . . . . . . . . . . . . . . . . . . . . . . . = 2(pie)rh + (pie) r(r^2 + h^2)^1/2

. . . . . . . . . . . . . . . . . . . . . . . . . . = 2(pie)*12 + (pie) 4*5

. . . . . . . . . . . . . . . . . . . . . . . . . . = 24(pie) + 20(pie)

. . . . . . . . . . . . . . . . . . . . . . . . . . = 44(pie)