The area of a cylinder is 956m3. If the circular top is halved, what is the new volume?
Your question is rather vague.
When you say that the circular top is halved, are you taking half of the diameter or half of the area ?
The radius is halved
(same as diameter halved, anyway ....)
original:
radius r, height h
surface area = 2πrh + 2πr^2
= 956
πrh + πr^2 = 478
h = (478-πr^2)/(πr)
for new cylinder, height = h, radius = r/2
volume = π(r^2/4)(478-πr^2)/(πr)
= (478r - πr^3)/4
so the relationship depends on the value of r
Are you sure the area was 956 and not the volume?
then the volume would simply be 1/4 of the original, or 239 m^3
To find the new volume of a cylinder with a halved circular top, we need to know the height and radius of the original cylinder. However, in the given question, only the area of the cylinder is provided.
The area of a cylinder is usually given in square units, such as square meters, rather than cubic units, such as cubic meters. Hence, it seems there is a mistake in the question as the area cannot be 956m^3 (cubic meters) for a cylinder.
Nevertheless, I can help you calculate the volume of a cylinder or find the new volume if you provide the correct information, such as the radius and height of the original cylinder.