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

Given that the initial volume is 300π m³, let's denote the initial radius as r and the initial height as h. So we have:

300π = πr²h

If the height is doubled and the radius is halved, the new radius is r/2 and the new height is 2h. The new volume V' is given by:

V' = π(r/2)²(2h) = π(r²/4)(2h) = πr²h/2 = (300π)/2 = 150π m³

So, the new volume will be 150π m³.

Question

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

Given that the initial volume is 300π m³, let's denote the initial radius as r and the initial height as h. So we have:

300π = πr²h

If the height is doubled and the radius is halved, the new radius is r/2 and the new height is 2h. The new volume V' is given by:

V' = π(r/2)²(2h) = π(r²/4)(2h) = πr²h/2 = (300π)/2 = 150π m³

So, the new volume will be 150π m³.

Knowee AI · Accepted Answer

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

Given that the initial volume is 300π m³, let's denote the initial radius as r and the initial height as h. So we have:

300π = πr²h

If the height is doubled and the radius is halved, the new radius is r/2 and the new height is 2h. The new volume V' is given by:

V' = π(r/2)²(2h) = π(r²/4)(2h) = πr²h/2 = (300π)/2 = 150π m³

So, the new volume will be 150π m³.

The volume of a cylinder is 300π m3.If the height of the cylinder is doubled and the radius is halved, the new volume will be:150π m3300π m3450π m3600π m3