Question

In a chemistry lab experiment, you use the conical filter funnel shown at the right. How much filter paper do you need to line the funnel?

Answer 1

Answer:

$7,561.12\ mm^{2}$

Step-by-step explanation:

we know that

The lateral area of a cone is equal to

$LA=\pi rl$

where

r is the radius of the base

l is the slant height

we have

$r=80/2=40\ mm$ ----> the radius is half the diameter

$h=45\ mm$

To find the slant height apply the Pythagoras theorem

$l^{2}=r^{2}+h^{2}$

substitute the values

$l^{2}=40^{2}+45^{2}$

$l^{2}=3,625$

$l=60.2\ mm$

Find the lateral area

assume $\pi=3.14$

$LA=(3.14)(40)(60.2)=7,561.12\ mm^{2}$