An inverted cone of vertical height 12cm and Base radius 9cm contains water to a depth of 4 cm. Find the area of the interior surface of the cone not in contact with the water.

Question

Mathematics

Itzel Snow

28 September, 01:47

An inverted cone of vertical height 12cm and Base radius 9cm contains water to a depth of 4 cm. Find the area of the interior surface of the cone not in contact with the water.

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Answers (1)

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Declan White · Answer 1

Slant height = (9 2 + 12 2) 1/2 = 15 cm

Slant height for 4 cm height = (4/12) (15) = 5 cm

Area of the interior surface not containing water

= π (9 x 15 - 3 x 5) = 120 π = 377.14 square cm