A container opens at the top and made up of metal sheet is in the form of a frustum of a cone of height 16cm with diameters of its lower and upper ends as 16 cm and 40 cm respectively. Find the cost of metal sheet used to make the container, if it costs Rs.10 per 100cm2 . ( Use =3.14)
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Frustum of a cone:
If a right circular cone is cut off by a plane parallel to its base then the portion of the cone between the cutting plane and the base of the cone is called a frustum of a cone.
The height of thickness of a frustum is the perpendicular distance between its two circular bases.
The slant height of frustum of a right circular cone is the length of the line segment which is obtained by joining the endpoints of two parallel ready grown in the same direction of the two circular bases.
Curved (lateral surface area) of a frustum of the cone: π(r1+r2)l
Slant height of frustum (l)= √h²+(r1-r2)²
HOPE THIS WILL HELP YOU....
Frustum of a cone:
If a right circular cone is cut off by a plane parallel to its base then the portion of the cone between the cutting plane and the base of the cone is called a frustum of a cone.
The height of thickness of a frustum is the perpendicular distance between its two circular bases.
The slant height of frustum of a right circular cone is the length of the line segment which is obtained by joining the endpoints of two parallel ready grown in the same direction of the two circular bases.
Curved (lateral surface area) of a frustum of the cone: π(r1+r2)l
Slant height of frustum (l)= √h²+(r1-r2)²
HOPE THIS WILL HELP YOU....
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Answer:
A container, open at the top and made up of metal sheet is in the form of a frust
cone of height 16 cm with diameters of its lower and upper ends as 16 cm and 40 cm
respectively. Find the cost of metal sheet used to make the container, if it costs 10 per 100
cm2
. [Take a = 3.14]
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