If the diameter of the base of a cone is $$\frac{75.36}{\pi}$$ cm and its slant height is 88 cm, then what is the total surface area (in cm²) of the cone? (Use $$\pi = 3.14)$$​)​

Correct option is C

Given:

Diameter of base = $$\frac{75.36 } π$$​ cm

Slant height (l) = 88 cm

Use π = 3.14

Formula Used:

Total Surface Area (TSA) of cone formula:

TSA = π × r × (r + l)

Solution:

Radius = $$\frac{\text{Diameter }} 2$$​​

Radius = $$\frac{\frac{75.36 } {3.14}}2$$​​​

Radius = 12 cm

TSA = 3.14 × 12 × (12 + 88)

TSA = 3.14 × 12 × 100

TSA = 3.14 × 1200 = 3768 cm²

Thus, the Total Surface Area = 3768 cm²

​