Asked by Wachira lightness
A wooden stool is in the form of a frustrum of a cone with slant edge 40cm,top diameter 30 cm and bottom diameter 50cm
(@) calculate the perpendicular height of the stool
(B) calculate the total surface area of the stool in terms of m squared
(C) calculate the volume of wood used to make the stool in terms of m squared
(@) calculate the perpendicular height of the stool
(B) calculate the total surface area of the stool in terms of m squared
(C) calculate the volume of wood used to make the stool in terms of m squared
Answers
Answered by
oobleck
Draw a side view
h^2 + 10^2 = 40^2
there are handy formulas for the surface area, or you can think of it as the bottom part of a complete cone, so just subtract the area that was cut off
unless you know the thickness of the wood, it's impossible to know its volume.
h^2 + 10^2 = 40^2
there are handy formulas for the surface area, or you can think of it as the bottom part of a complete cone, so just subtract the area that was cut off
unless you know the thickness of the wood, it's impossible to know its volume.
Answered by
Anonymous
a) bottom radius = 25
top radius = 15
difference = 10
so h^2 + 100 = 1600
h = 38.73
area add top, bottom and side
top = pi (225)
bottom = pi(625)
side = pi (25+15)(40)
top radius = 15
difference = 10
so h^2 + 100 = 1600
h = 38.73
area add top, bottom and side
top = pi (225)
bottom = pi(625)
side = pi (25+15)(40)
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