The diameter of a cylinder is 5 yd. The height is 8 yd. Find the volume of the cylinder in terms of pi and to the nearest tenth.

Question

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Part 1
Find the volume V of the cylinder in terms of pi.
Vequals
  
enter your response here yd cubed ​(Simplify your answer. Type an exact answer in terms of pi​.)

Answer 1

To find the volume of a cylinder, we use the formula V = πr^2h, where r is the radius and h is the height.

Since the diameter is 5 yards, the radius (r) is half of the diameter, which is 5/2 = 2.5 yards.

Now, we can substitute the values of r and h into the formula:

V = π(2.5)^2(8)
V = π(6.25)(8)
V = 50π

So, the volume of the cylinder in terms of π is 50π cubic yards.