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.
Answers
Given : A cylinder of same height and radius is placed on the top of a hemisphere and the length of the shape is 7 cm.
⇒ r + r = 7
⇒ 2r = 7 cm
⇒ r = 7/2
⇒ r = 3.5 cm
Curved surface area of a hemisphere = 2πr²
Curved surface area of a cylinder = 2πrh = 2πr × r = 2πr²
[r = h ]
Total surface area of the shape = Curved surface area of a hemisphere + Curved surface area of a cylinder
Total surface area of the shape = 2πr² + 2πr² = 4πr²
Total surface area of the shape = 4 × (22/7) × (3.5)²
= 4 × 22/7 × 3.5 × 3.5
= 4 × 22 × 0.5 × 3.5
= 4 × 11 × 3.5
= 44 × 3.5
= 154 cm²
Hence, the curved surface area of the shape is 154 cm².
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Answer:We have,Length of the shape =7 cm⇒r+r=7 cm, where r is the radius of the hemisphere⇒r= 7/2cm
Total surface area = 2πr×r+2πr²
=4πr²
=4×22/7×(7/2)²
=154cm² is your answer:)