Middle School

Determine the volume of a cylindrical bucket if the diameter is 8.5 in. and the height is 11.5 in.

A. 652.2 in³
B. 2608.9 in³
C. 306.9 in³
D. 882.4 in³

Answer :

We know that the volume,V of a cylinder is given by:

[tex] V=\pi r^2h [/tex]

where r is the radius, h is the height of the cylinder.

Now, it has been given to us that the diameter of the cylinder is 8.5 in. Therefore, the radius of the cylinder will be half it's diameter and will be, [tex] r=\frac{1}{2}\times 8.5=4.25 [/tex] in.

The height, h=11.5 inches

Therefore, applying the formula we will get:

Volume, V=[tex] \pi (4.25)^2(11.5)\approx652.57 in^3 [/tex]

Thus, out of the given options, Option A is the correct option.

The answer is A 652.2 in3
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