Question

Drag each tile to the correct box Arrange the cylinders in order from least volume to greatest volume. agindur math a diameter of 28 un and a test of 18 units acide with a radius of 13 units and a height of 17 units a cyinder with a diameter of 30 pts and a hught of 14 units onder with a radius of 12 units and a hot 20 units

Answer 1

Explanation:

The volume of a cylinder is given by

`V=\pi r^2h`

Now, to correct the order of the cylinders from least to greatest, we have to calculate the volume of each.

(a). A cylinder with a diameter of 28 units and a height of 18 units.

Diameter is 2 times radius; therefore, r = 14 and the volume is

`V=\pi(14)^2*18`
`V=3529\pi`

(b). A cylinder with a radius of 13 units and a height of 17 units.

The volume is

`V=\pi(13)^2\cdot17`
`V=2873\pi`

(c). A cylinder with a diameter of 30 units and a height of 14 units.

The radius is 15 units; therefore, the volume is

`V=\pi(15)^2\cdot14`

`V=3150\pi`

(d). A cylinder with a radius of 12 units and a height of 20 units.

The volume is

`V=\pi(12)^2\cdot20`
`V=2880\pi`

Hence, from least volume to greatest volume the order is

`(b)<(d)<(c)<(a)`