The curved surface area of a cone is 12320 cm square if the radius of its base is 56cm , find the height
Answers
Answer:
Given:
radius of the base of the cone =56cm
We know that curve d surface area of a cone=πrl.
Given that curved surface area of a cone=12320.
πrl=12320
7
22
∗56∗l=12320
22∗8∗l=12320
176∗l=12320
l=
176
12320
=70.
We know that height of the cone,
h=
l
2
−r
2
=
70
2
−56
2
=
4900−3136
=
1764
=42.
Therefore the height of the cone =42m.
Step-by-step explanation:
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Given:
radius of the base of the cone =56cm
We know that curve d surface area of a cone=πrl.
Given that curved surface area of a cone=12320.
πrl=12320
7
22
∗56∗l=12320
22∗8∗l=12320
176∗l=12320
l=
176
12320
=70.
We know that height of the cone,
h=
l
2
−r
2
=
70
2
−56
2
=
4900−3136
=
1764
=42.
Therefore the height of the cone =42m.
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