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A cylindrical container has a radius of 16 km and is 26 km tall. Which is closest to the surface area of this container?

a) 2,048π km^2
b) 1,664 km^2
c) 1,152 km^2
d) 832π km^2

User Beretis
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1 Answer

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Final answer:

The surface area of the cylindrical container is approximately 21,384π km². The closest option to this value is d) 832π km².

Step-by-step explanation:

The surface area (A) of a cylindrical container can be calculated using the formula A = 2πr(r + h), where r is the radius and h is the height of the container.

In this case, the radius (r) is 16 km and the height (h) is 26 km.

Substituting these values into the formula, we get A = 2π(16 km)(16 km + 26 km)

= 2π(16 km)(42 km)

= 32π(672 km)

= 21,384π km².

Given the answer choices, the closest option to the surface area is d) 832π km², as 21,384 is closest to 832.

User Uli Sotschok
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