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The curved surface area of a frustum cone is 240cm2. The larger circle area is 50cm2. The total surface area is 750cm2Find the smaller circle area of a cone.

Sub Grade: 9

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560cm2

460 cm2

660 cm2

760 cm2

answer is B.

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Detailed Solution

Given
Larger circle area 𝝿R2
50 cm 2= 𝝿R2
R2= 50*7/22
CSA = 240 cm2
𝝿 (R+r)l = 240 cm2
Total surface area = 750 cm2
𝝿(r+R)l +𝝿r2+𝝿R2= 750
240+50+𝝿R2= 750
𝝿R2= 750-(240+90)
Then the area of smaller circle = 460

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