Question

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 )​

Answer 1

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

Answer 2

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