A cylinder of same height and radius is placed on the top of a hemisphere. Find the curved surface area of the shape if the length of the shape is 7 cm.

Question

Philoid · Accepted Answer

Given, cylinder of same height and radius is placed on the top of a hemisphere.

Also, length of the shape is 7 cm

⇒ r + r = 7

⇒ r = 3.5 cm

Curved surface area of a hemisphere = 2πr²

Curved surface area of a cylinder = 2πr²

Total surface area of the shape = 4πr²

⇒ Total surface area of the shape = 4 × (22/7) × (3.5)²

⇒ Total surface area of the shape = 154 cm²