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antoniya [11.8K]
3 years ago
15

The circumference of the top rim of the cone shaped paper cut is 7.87 inches. Find the least amount of paper that can for a cone

shaped cup
Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0

Answer:

14.55 square inches

Step-by-step explanation:

From the figure it is given that,

The circumference of the top rim of a cone shaped paper cut = 2πr = 7.87 inches

The slant height is l = 3.7 inch

Therefore the least amount of paper which can form a cone shaped cup is the surface area of the cone.

The surface area of the cone is given as :

$A=\frac{2 \pi r l}{2}$

$A=\frac{(2 \pi r) (l)}{2}$

$A = \frac{(7.87) \times (3.7)}{2}$

$A=\frac{29.119}{2}$

A = 14.55 square inches

Amount of paper required = 14.55 square inches

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