A Cook wants to cover the side of a cone shaped funnel with parchment paper to avoid any leaks or spills the funnel has a diameter of 6 inches and 4 inches how many square inches of parchment papers needed to cover the side of the funnel. Use 3.14 for pi and round your answer to the nearest hundredth

1 answer

To find the surface area of the side of the funnel, we need to find the slant height first.

The slant height (l) can be found using the formula: l² = r² + h², where r is the radius of the base and h is the height of the cone.

Given that the diameter of the larger base is 6 inches, the radius (r) would be half of that, which is 6/2 = 3 inches.
The smaller base has a diameter of 4 inches, so the radius for that base is 4/2 = 2 inches.

Now we need to find the slant height (l) using the formula mentioned earlier. For the larger base:
l² = 3² + h²
l² = 9 + h²

For the smaller base:
l² = 2² + h²
l² = 4 + h²

As both formulas equal l², we can set them equal to each other:
9 + h² = 4 + h²

The h² term cancels out, leaving:
9 = 4

This is not possible, so there is an error in the given dimensions. Please double-check and provide the correct measurements in order to solve the problem accurately.