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

Answer:

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\times18$$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

$(b)<(d)<(c)<(a)$