The base radius of a solid right circular iron rod is 32 cm. and its length is 35 cm. Let us
calculate the number of solid cones of 8 cm. radius and 28 cm. height can be made by
melting this rod.
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The base radius of a solid right circular iron rod is 32 cm. and its length is 35 cm. Let us
calculate the number of solid cones of 8 cm. radius and 28 cm. height can be made by
melting this rod.
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volume of cylinder= 22/7*35*32*32
= 110*32*32= 112,640 ans...
....
volume of cones*x= 112,640....
x= 112640-πr²h/3
= 112640-187.33..............
Given :-
To Find :-
Solution :-
Let the number of cone be n.
According to Question :-
➻ Volume of cylinder = No. of cones × Volume of cone
➻ πr²h = n × ⅓πr²h
➻ π × 32² × 35 = n × ⅓ × π × 8² × 28
Canceling π from the both sides :
➻ 1024 × 35 = n × ⅓ × 64 × 28
➻ 35840 = n × ⅓ × 1792
➻ 35840 ÷ 1792 = n × ⅓
➻ 20 = n × ⅓
➻ n = 20 × 3
➻ n = 60
Therefore, 60 solid cones are made.