A circle has its perimeter 88 m A cylinder that is closed from the bottom has the same radius like a...........

Quantitative Aptitude (CDS) Mensuration 2D

A circle has its perimeter 88 m. A cylinder that is closed from the bottom has the same radius like a circle and has a height of 25 m. A cone of height 10m is mounted on the top of the cylinder. What is the length of the material required to make that shape?

15001 m^2

15408 m^2

11176 m^2

21600 m^2

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Explanation:

Circle perimeter=2pr
88=2pr
r=14 m
slant height of cone
l^2=h^2+r^2
=10^2+14^2
l=140m
material required=area of base of cylinder + curved surface area of cone + 2prh(curved surface area of cone)
=pr^2 + prl + 2prh
=pr(r + l + 2h)
=44(14 + 140 + 2×50)
=44×254
=11176m^2