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I need help with this problem ​

I need help with this problem ​-example-1

2 Answers

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User Agus
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7 votes

Answer:

367.57 in³

Explanation:

The formula for the volume of a cylinder is
V = h\pi r^2, where V is the volume, h is the height, and r is the radius. The picture shows you that r = 3 in and h = 13 in.

Plug these into the formula to find the answer:


V = (13)\pi 3^2=(13)(9)\pi =117\pi => 367.566

Round that to the nearest hundredth to get 367.57. The units for the answer should be in cubic inches.

For the surface area, imagine laying the cylinder out. You'd see two circles, for the top and bottom, and then a rectangle, which is the side. The formula is A=2πrh+2πr². Try to do this yourself! You only need to plug in the values: r = 3 in and h = 13 in.

User Ryan Stull
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5.4k points