SOLUTION: A piece of paper is in the shape of a sector of a circle whose radius is 12 cm and the central angle of the sector is 120 degree. It is rolled to form a cone of the biggest possibl
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Question 1123339: A piece of paper is in the shape of a sector of a circle whose radius is 12 cm and the central angle of the sector is 120 degree. It is rolled to form a cone of the biggest possible capacity.Find the capacity of cone.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A piece of paper is in the shape of a sector of a circle whose radius is 12 cm and the central angle of the sector is 120 degree.
It is rolled to form a cone of the biggest possible capacity.
Find the capacity of cone.
:
Find the total area of the sector
A = *
A = 150.8 sq/cm, this is surface area of the cone
:
Surface area (SA) of a cone without the end formula
The slant length (s) = the radius of the paper; 12 cm
, find r, the radius of the cone
r =
r = 4 cm is the radius
find the height of the cone
h =
h =
h = 11.3 cm is the height of the cone
Find the capacity (volume)
*
V = *
V = 189.33 cu/cm
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