the csa of a cone 4070 square cm and its diameter is 70 cm
find its slant height , tsa and volume of the cone.
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Answer:
Step-by-step explanation:
C.S.A of cone = 4070cm²
diameter of cone = 70cm
radius = 70/2 = 35cm
πrl = 4070cm²
π×35×l=4070
(22/7)35×l=4070
22×5×l=4070
110×l=4070
l=4070/110
l=407/11
l= 37cm
Therefore slant height = 37cm
T.S.A of cone= πr(l+r)
= (22/7)35(37+35)
= 22×5(72)
= 110(72)
= 7920cm²
Therefore the T.S.A of cone is 7920cm²
we need hieght for volume = (h²= l²-r²)
37²-35² = 1369-1225 = 144
h²=144
h=√144
h= 12cm
Volume of cone = 1/3πr²h
= 1/3(22/7)35×35×12
= 22×5×35×4
= 110×140
=15400cm³
Therefore the volume of cone is 15400cm³.
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