The volume of a cylinder is:

$\displaystyle V=\pi r^{2}h$

You can think of the volume as the area of the base times the height. Since it is given that the diameter is twice the length of the height, the radius (half the diameter) equals the height. If it helps to visualize these dimensions, draw the cylinder described.

The equation can be rewritten, using the height in terms of the radius.

$\displaystyle h=r$

$\displaystyle V=\pi r^2(r)$

$\displaystyle V=\pi r^{3}$

Plug in the given volume to solve for the radius.

$\displaystyle 64\pi=\pi r^{3}$

$\displaystyle 64=r^{3}$

$\displaystyle 4=r$

To solve this question, you must remember that the formula for volume is the product of the area of the base and the height. The area of the base of this cylinder is $\displaystyle \pi r^2$.

$\displaystyle V=A_b*h=\pi r^2h$

Plug in the given radius and height to solve.

$\displaystyle V=\pi(5)^2(9)$

$\displaystyle V=\pi(25)(9)$

$\displaystyle V=225\pi$

The volume of a cylinder is given by the formula: $\displaystyle V=\pi r^2h$.

For a shape with a hole through the center, the final volume is equal to the total volume of the shape minus the volume of the inner hole. In this question, we are looking for the volume given by the larger radius minus the volume given by the smaller radius. The height is equal to the thickness of the washer.

$\displaystyle V=\pi r_1^2h-\pi r_2^2h$

$\displaystyle V=\pi(8)^2(0.5)-\pi(2)^2(0.5)$

$\displaystyle V=\pi(64)(0.5)-\pi(4)(0.5)$

$\displaystyle V=32\pi-2\pi$

$\displaystyle V=30\pi\ in^3$

Cylinder:  $\displaystyle V=Bh$          Cone:  $\displaystyle V=\frac{1}{3}Bh$

Thus the difference is 2/3Bh and that means a cylinder can hold 2/3Bh more given the same radius and height.

The volume of a right circular cylinder is equal to its height ($\displaystyle h$) multiplied by the area of the circle base ($\displaystyle \pi r^2$).

In this scenario, the Volume

$\displaystyle V=5* (\pi *3^2) = 45\pi$.

Therefore, the volume is $\displaystyle 45\pi$.

Plug the radius and height into the formula for the volume of a cylinder:
$\displaystyle \\V = \pi *r^2*h \newline V = \pi * 4^2 * 7 \newline V = 112 \pi inches^3$

To find the volume of a cylinder use formula:

$\displaystyle V = \pi r^2*h$

For a cylinder with a radius of 6 and a height of 3 this yields:

$\displaystyle V = \pi 6^2*3$

     $\displaystyle =108\pi$

To find volume, simply use the following formula. Remember, you were given diameter so radius is half of that. Thus,

$\displaystyle V=\pi{r^2}h=\pi*3^2*8=72\pi$

To find volume of a cylinder, simply use the following formula. Thus,

$\displaystyle \textup{volume}=\pi{r^2}h=\pi*(3^2)*2=\pi*9*2=18\pi$

To solve, simply use the formula. Thus,

$\displaystyle V=\pi{r^2}h=\pi\cdot1^2\cdot11=\pi\cdot1\cdot11=11\pi$