Question

15 Points!!!
The volume of the given right circular cylinder is 256ℼ cubic yards. If h, the height of the cylinder is 16 yards, what is r the radius of the base?
A. 4 yd.
B. 6 yd.
C. 12 yd.
D.16 yd.

Answer 1

Answer: 4 yards

Step-by-step explanation: The formula for the volume of a cylinder is Pi * Radius squared * height.

If the end result is 256pi, and the height is 16, then the radius must be 4, because 4^2 = 16, and 16*16 = 256, and 256*pi = 256pi.

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Answer 2

Answer:

r = 4yd (Answer A)

Step-by-step explanation:

The volume of a cylinder of radius r and height h is V = πr²h, and the applicable V value here is 256π yd³.  We divide this by 16 yd to find the area of the base:  16π yd².

The base is a circle of radius r, which is to be determined:

πr² = 16π yd²

This reduces to r² = 16 yd², and so r = 4yd (Answer A)