A fez, the cap used by the Turks, is shaped like the
furstum of a cone. If its radius on the open side is 10
cm, radius at the upper base is 4 cm and its slant height
is 15 cm, find the area of material used for making it.
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Answer:
Given:
Radius (r) of upper circular end =4 cm
Radius (R) of lower circular end =10 cm
Slant height (l) of frustum =15 cm
Area of material used for making the fez = CSA of frustum + Area of upper circular end
=π(R+r)l+πr
2
=π(10+4)×15+π×4
2
=210π+16π=
7
226×22
=710
7
2
cm
2
Therefore, the area of material used for making it is 710
7
2
cm
2
.
Step-by-step explanation:
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