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 m3Expires in: 4 days 22 hours 16 min 19 secNextHighlight
Question
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 m3Expires in: 4 days 22 hours 16 min 19 secNextHighlight
Solution
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 volume of the cylinder is 300π m³, if the height is doubled and the radius is halved, the new volume will be given by:
V' = π * (r/2)² * (2h) = π * (r²/4) * 2h = (πr²h/2) = (300π m³ / 2) = 150π m³.
So, the new volume of the cylinder will be 150π m³.
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