Question

how much paper is needed to make a conical cap of base radius 8 cm and slant height 30 cm​

Answer 1

16 cm paper is needed to make a conical cap

Answer 2

Given:

A conical cap of base radius 8 cm and slant height 30 cm

To find:

​How much paper is needed to make a conical cap?

Solution:

The base radius of the conical cap, r = 8 cm

The slant height of the conical cap, l = 30 cm

We have the formula of a CSA of a cone as follows:

$\boxed{\bold{Curved\:surface\:area \:of\:a\:cone = \pi r l}}$

Now,

The area of paper needed to make the conical cap is,

= Curved surface area of the conical cap

= $\pi r l$

on substituting the values of r and l, we get

= $\frac{22}{7} \times 8 \times 30$

= $\bold{754.28 \:cm^2}$

Thus, 754.28 cm² of paper is needed to make a conical cap of base radius 8 cm and slant height of 30 cm​.

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