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britorre7609
27.09.2020 •
Mathematics
The circumference of the top rim of the cone-shaped paper cup is 8.66 inches. Find the least amount of paper that can form the cone-shaped cup. (Round your answer to two decimal places.)
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Ответ:
15.59 square inches
Step-by-step explanation:
In the required given diagram, the slant height of the cone was given as 3.6 inches.
The least amount of paper required would be equal to the curved surface area of the cone.
curved surface area of a cone =
rl
where r is the radius and l the slant height.
circumference of the top rim = 8.66 inches
circumference = 2
r
⇒ 8.66 = 2
r
4.33 =
r
r = 4.33/![\pi](/tpl/images/0780/9390/ad2a1.png)
curved surface area =
x 4.33/
x 3.6
= 4.33 x 3.6
= 15.588 square inches
Thus, the least amount of paper that can form the cone shaped cup is 15.59 square inches.
Ответ:
52 cm
Step-by-step explanation:
20^2 + 48^2 = x^2
400 + 2304 = x^2
2704 = x^2
x = 52