calculate the volume of a cone if the area of a base of right circular cone is 3850 sq m. and curve surface area is 4070 sq m (please give answer with detail steps )
Answers
Answered by
0
Answer:
Curved surface area of a cone =πrl, where r is the radius of the cone and l is the slant height.
Radius = 2
Diameter=35 cm
Hence, curved surface area of this cone = 7
22×35×l=4070
⇒l= 22×35
7×4070⇒l=37 cm
Answered by
0
Answer is 65450m^3
Area of base of right circular cone πr^2
3850 = 22/7×r^2
r^2 = 3850×7/22
r^2 = 1225
r = √1225
r = 35
C.S.A of cone = πrl
4070 = 22/7×35l
4070 = 22×5l
4070 = 110l
l = 4070/110
l = 37
l^2 = h^2+r^2
h^2 = l^2-r^2
h^2 = 37^2-35^2
h^2 = 1369+1225
h^2 = 2594
h = √2594
h = 50.93
h = 51
Volume of cone = 1/3πr^2×h
= 1/3×3850×51
= 3850×17
= 65450m^3
Similar questions