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ASAP
A cylindrical carton of oatmeal has a radius of 4 inches. All surfaces except the top are made of cardboard, and 276 square inches of cardboard are used. Assuming no surfaces overlap, what is the height of the carton of oatmeal, rounded to the nearest inch?

Respuesta :

bhuvna789456

The height of the carton of oatmoatmeal is 9 inches.

Step-by-step explanation:

Radius = 4 inches

Area of cardboard used = 276 square inches

Required surface area = π(r x r) + 2πrh

276 = π(4 x 4) + 2π(4 x h)

276 = 16π + 8π(h)

276 = 50.24 + 25.12(h)

276 - 50.24 = 25.12(h)

225.76 = 25.12(h)

(225.76) /(25.12) = h

h = 9 inches

The height of the carton of oatmoatmeal is 9 inches.

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