The total surface area of a solid cone of radius 7 cm and slant height 25 cm, is

The total surface area of a solid cone of radius 7 cm and slant height 25 cm, is
(A) 724 cm²
(B) 704 cm²
(C) 550 cm²
(D) 616 cm²

Solution : Correct answer is : (B) 704 cm².

Radius (r) = 7 cm
Slant height (l) = 25 cm

Total Surface Area (TSA) of a cone = Curved Surface Area + Base Area$$\text{TSA} = \pi r l + \pi r^2$$Substitute the values

$$= \pi (7)(25) + \pi (7)^2$$$$= 175\pi + 49\pi$$$$= 224\pi$$

Use π = 22/7

$$224 \times \frac{22}{7}$$$$= 32 \times 22$$$$= 704$$

Final Answer:

$$\boxed{704 \text{ cm}^2}$$