Math, asked by Anonymous, 1 year ago

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▶Two cones with same base radius 7cm are inserted one in another.Find the volume of air in between the two cones if the vertical cross-section of their combination is as shown in the diagram. /_BDC = 120 and /_BAC = 60.

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Answered by Anonymous
3
In triangle COA

<OAC = 60/2 = 30

tan30 = OC/OA

OA = OC/tan30

= 7√3

In triangle ODC

<ODC = 120/2 = 60

tan 60 = OC/OD

OD = OC/tan 60

= 7/√3

volume of cone BAC = 1/3 pie r^2 h

r = 7

h = OA = 7√3

V= 1/3 22/7 7× 7 × 7√3

= 610.86 cm^3

volume of BDC = 1/3 pie r^2 h

r = 7

h = OD = 7/√3

V = 1/3 ×22/7 × 7× 7 × 7/√3

= 211.18 cm^3

volume of air between cones = volume of BAC - Volume of BDC

= 610.86 - 211.18

= 399.68 cm^3

Answered by Anonymous
0
hope it helps........
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