a semi circular sheet of metal of diameter 28 cm is bent to form a cone. find the capacity of the cone.
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Answered by
22
HEY FOLK...
Diameter = 28cm................(given)
Radius = 14cm...................(diameter/2)
Circumference of semi circle will be the circumference of base of cone formed
=> pie x r
=> (22/7) x 14 = 44 cm
=> 2pieR = 44
=> R = 44 x (7/44)
=> R = 7 cm
The radius of semi circular sheet = slant height(l) of conical cup
slant height, l = 7 cm
We know that
r2 + h2 = l2
142 + h2 = 72
196 – 49 = h2
h2 = 147
h = 7√3 cm
That is depth of the conical cup is 7√3 cm
Capacity of cup = (1/3) (pie)r^2h
= (1/3) x (22/7) x 72 x 7√3
= 622.37 cu cm
HOPE IT HELPS..
#Mme
Diameter = 28cm................(given)
Radius = 14cm...................(diameter/2)
Circumference of semi circle will be the circumference of base of cone formed
=> pie x r
=> (22/7) x 14 = 44 cm
=> 2pieR = 44
=> R = 44 x (7/44)
=> R = 7 cm
The radius of semi circular sheet = slant height(l) of conical cup
slant height, l = 7 cm
We know that
r2 + h2 = l2
142 + h2 = 72
196 – 49 = h2
h2 = 147
h = 7√3 cm
That is depth of the conical cup is 7√3 cm
Capacity of cup = (1/3) (pie)r^2h
= (1/3) x (22/7) x 72 x 7√3
= 622.37 cu cm
HOPE IT HELPS..
#Mme
Answered by
9
Answer:
622.26 is answer
Step-by-step explanation:
plz look at above pic.
hope this will helps u......be happy.....
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