Question

the diameter of a solid hemisphere is 7cm find its curved surface area and total surface area

Answer 1

Step-by-step explanation:

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Answer 2

Given : The diameter of a solid hemisphere is 7cm

To find : Its curved surface area and total surface area.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the curved surface area and total surface area of the given hemisphere)

The radius of the hemisphere :

= Diameter ÷ 2

= (7 ÷ 2) cm

= 3.5 cm

So, the curved surface area of the hemisphere :

= 2 × π × (radius)²

= 2 × (22/7) × (3.5)²

= 77 cm²

And,

The total surface area of the hemisphere :

= Curved surface area + Base area

= 77 cm² + [π × (radius)²]

= 77 cm² + [(22/7) × (3.5)²] cm²

= 77 cm² + 38.5 cm²

= 115.5 cm²

Hence, the curved surface area of the hemisphere is 77 cm² and the total surface area of the hemisphere is 115.5 cm².