Question

The volume of a cone is 154 m³ and area of its base is 38.5 m². The cloth required for its curved path is ______.

Options

• 137.5 m²

• 275 m²

• 152.5 m²

• 305 m²

Answer 1

The volume of a cone is 154 m³ and area of its base is 38.5 m². The cloth required for its curved path is 137.5 m².

Explanation:

Using the volume formula V = `1/3` Base Area × h, the height is h = `(3 × 154)/38.5` = 12m. 

Since πr² = 38.5, the radius is r = 3.5 m, giving a slant height of `l = sqrt12^2 + 3.5?^2 = 12.5 m`

Thus, the required curved surface area is πrl = `22/7` × 3.5 × 12.5

= 137.5m²