The lateral area is thrice as big as the base area of a solid cone. If the diameter of the solid cone is 1 meter, then what is the total surface area of solid cone?

Correct option is C

Given:
The lateral area is thrice as big as the base area of the solid cone. Diameter of the cone is 1 meter.
Concept Used:
If r be the radius of the base then the area of the base of the cone is π$$r^2$$​​
Total surface area = Lateral area + Area of the base
Radius = $$\frac{\text{Diameter}}{2}$$​​
Solution:
Diameter of the cone is 1 meter
=> Radius of the cone (r) = $$\frac{1}{2}$$​ meter
Area of the base of the cone = $$π(\frac12)^2$$​ = $$\frac \pi 4$$​ Sq. m.
The lateral area is thrice as big as the base area
=> Lateral area of the cone is $$\frac{3π}4$$​ Sq. m.
Total surface area of the cone = $$\frac{3π}4 + \frac{π}4$$​​
=> π Sq. m.