57 A dome is constructed with a diameter of 15 cm and its slant height is 20 cm. By assuming the dome structure is ideal to
cone, find its surface area,just answer no need of explanations
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Given :
A dome of structure Cone
The diameter of dome = d = 15 cm
The slant height of dome = l = 20 cm
To Find :
The Surface area of dome
Solution :
As The structure of dome is cone
∵ Total surface area of cone = π × r × l + π × r²
where r = radius of dome
l = slant height of dome
∵ diameter of dome = d = 15 cm
∴ radius = r =
r = = 7.5 cm
So,Total surface area of conical dome = π × r × l + π × r²
= 3.14 × 7.5 cm × 20 cm + 3.14 × (7.5 cm)²
= 471 cm² + 176.625 cm²
= 647.625 cm²
Hence, Total surface area of conical dome is 647.625 cm² Answer
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