The radius and the height of a right circular cone are in the ratio of 5∶12and its volume is 2512cm3 .Find the curved surface area and total surface area of the cone.
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Step-by-step explanation:
ANSWER
Let radius=5x and height=12x
Volume of cone=
3
1
πr
2
h
2512=
3
1
∗3.14∗5x∗5x∗12x
3.14
2512∗3
=300x
3
300x
3
=2400
x
3
=
300
2400
=8
x=2
Radius=5∗2=10cm
Height=12∗2=24cm
l=
r
2
+h
2
=
10
2
+24
2
=
100+576
=
676
=26 cm
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