The volume of a right circular cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Let's denote the initial volume of the cylinder as V1 = πr²h.

According to the problem, the radius is tripled and the height is halved. So, the new volume V2 = π(3r)²(0.5h) = π(9r²)(0.5h) = 4.5πr²h.

The ratio of the new volume to the previous volume is V2/V1 = 4.5πr²h / πr²h = 4.5.

So, the ratio of the new volume to the previous volume of the cylinder is 4.5:1.

Question

The volume of a right circular cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Let's denote the initial volume of the cylinder as V1 = πr²h.

According to the problem, the radius is tripled and the height is halved. So, the new volume V2 = π(3r)²(0.5h) = π(9r²)(0.5h) = 4.5πr²h.

The ratio of the new volume to the previous volume is V2/V1 = 4.5πr²h / πr²h = 4.5.

So, the ratio of the new volume to the previous volume of the cylinder is 4.5:1.

Knowee AI · Accepted Answer

The volume of a right circular cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Let's denote the initial volume of the cylinder as V1 = πr²h.

According to the problem, the radius is tripled and the height is halved. So, the new volume V2 = π(3r)²(0.5h) = π(9r²)(0.5h) = 4.5πr²h.

The ratio of the new volume to the previous volume is V2/V1 = 4.5πr²h / πr²h = 4.5.

So, the ratio of the new volume to the previous volume of the cylinder is 4.5:1.

If the radius of right circular cylinder is tripled and the height gets halved, then the ratio of new volume to the previous volume of the cylinder is