Question

What is the volume of the following cylinder? Do not round your answer. (Use 3.14 for π.)

Answer 1

Answer:

Volume of cylinder (V) is given by:

$V =\pi r^2h$            .....[1]

where,

r is the radius of the cylinder

h is the height of the cylinder.

As per the statement:

From the give diagram:

Diameter(d) = 12 yd and height(h) = 15 yd

We know that:

d = 2r

⇒12 =2r

Divide both sides by 2 we have;

6 = r

or

r = 2 yd

Substitute the given values and 3.14 for π in [1] we have;

$V = 3.14 \cdot 6^2 \cdot 15$

⇒$V = 3.14 \cdot 36 \cdot 15$

Simplify:

$V = 1695.6$ cubic yd

Therefore, the volume of the following cylinder is, 1695.6 cubic yd

Answer 2

1695.6 is the volume. 3.14 * 6^2 * 15 = 1695.6