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Find the total surface area and the volume of the conical frustum below.

 

 Dec 27, 2023
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L =   sqrt [ 92^2  + (33-25)^2] =   sqrt [ 92^2 + 8^2] =  4sqrt [533]

R = 33

r =25

 

Surface area = pi L (R + r) + pi (R^2 + r^2)  = pi [ 4sqrt (533) ](58) + pi ( 33^2 + 25^2)  ≈ 22211.49 units^2

 

 

S1  =  pi * 33^2           S2  = pi * 25^2       H  = 92

 

Volume  =   H/3 * ( S1 + S2 +  sqrt  [ S1 * S2 ])  = 

 

92/3  *  ( pi (33^2 + 25^2) +  sqrt [ pi*33^2 * pi* 25^2 ] ) ≈ 244612.78 units^3

 

 

cool cool cool

 Dec 28, 2023

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