Question

In the given figure, a solid cone is kept inverted in a closed cylindrical container such that the height of cone = height of cylinder = h, radius of cone = radius of cylinder = r and slant height of cone = l. If the remaining of cylinder is completely filled with water, the wetted surface area of the whole body is:

Options

• 2πrh + πr² + πrl

• 2πrh + πrl

• 2πrh + 2πr² + πrl

• 2πrh − πr² + πrl

Answer 1

2πrh + πr² + πrl

Explanation:

From figure,

Total wetted surface area of body = Curved surface area of cylinder + Area of upper surface of cylinder + Curved surface area of cone

= 2πrh + πr² + πrl.