Question

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

Options

• 724 cm²

• 704 cm²

• 550 cm²

• 616 cm²

Answer 1

The total surface area of a solid cone of radius 7 cm and slant height 25 cm, is 704 cm².

Explanation:

Radius (r) = 7 cm

Slant height (I) = 25 cm 

Total Surface Area (TSA) of a cone = Curved Surface Area + Base Area

TSA = πrl + πr²

= π(7)(25) + π(7)²

= 175π + 49π

= 224π

Use `π = 22/7`

`224 xx 22/7`

= 32 × 22

= 704