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If the radius and the slant height of this right circular cone are each multiplied by 4, by what factor is the surface area multiplied?

User Njahnke
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2 Answers

11 votes

Answer:

16

Explanation:

got it right

User Eric Conklin
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5.3k points
5 votes

Answer:

16

Explanation:

Total surface area of a cone T1 = πr(r+l)

If the radius and the slant height of this right circular cone are each multiplied by 4, the new surface area will be expressed as;

T1 = π4r(4r+4l)

T2 = 16πr(r+l)

Taking the ratio of both total area

T1/T2 = πr(r+l)/16πr(r+l)

T1/T2 = 1/16

16T1 = T2

T2 = 16 T1

Hence the total surface area is multiplied by a factor of 16

User Ravi Limbani
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5.6k points