Question

An oil funnel made of tin sheet of a cylindrical 10cm long attached to a frustum of cone if the total height is 22cm .diameter of the cylindrical portion is 8cm and the diameter of the top of the funnel is 18cm find the area of tin sheet required to make the funnel​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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Curved surface area of cylinder :

$= 2\pi rh$

$= \pi \times 8 \times 10$

$= 80\pi$

Slant height of frustum can be calculated as follows :

$l = \sqrt{h²+(r1 - r2)²}$

$= \sqrt {12² + (9-4)²}$

$= \sqrt {144+25}$

$= \sqrt{169} = 13~cm$

Curved surface area of frustum :

$= \pi (r1 + r2)l$

$= \pi (9+4) \times 13$

$= 169\pi$

Total curved surface area :

$= 169 \pi + 80 \pi$

$= 249 \times 3.14$

$= 781.86 ~ cm²$