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How does the volume of a cone change if its radius and height are both tripled?
Wiki User
∙ 12y ago
The volume of a cone is pi(r2h)/3
If the radius and height are both tripled, plugging this into the equation gives us
pi(3h(3r)2)/3
=pi(3h9r2)/3
=27pi(r2h)/3
which is 27 times the initial volume.
Thus if the radius and height of a cone are tripled, the volume multiplies by 27.
Wiki User
∙ 12y ago
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How does the volume change if the radius is tripled?
It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.
How would you changed the height of a cone so that its volume would remain the same when its radius was tripled?
V = (pi) R^2 H/3 if radius triples then volume goes as radius squared = 9 times more, so you would need to reduce height by 9 to keep same volume
How do you get the volume if you have the radius and the height?
if its a cone: volume= (1/3) base* height or volume= (1/3) pi *radius*radius[r squared]* height
How do you find the height and radius of cylinder with only the volume?
The volume of a cylinder is (pi)r^2h. This means the volume is dependent on both the height and the radius of the cylinder. So, one must know Volume and either radius or height to calculate height or radius respectively.
How do you calculate the radius if you have height and volume?
(assuming its a cylinder) volume = pi * radius2 * height so: radius = square root ( volume / ( pi * height ) )
What happens to the volume of a cylinder if the radius and height are tripled?
The original volume is multiplied by 27.
How does the volume of a cone change if the radius is tripled?
it looks like a circle.
How does the volume change if the radius is tripled?
It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.
How would you changed the height of a cone so that its volume would remain the same when its radius was tripled?
V = (pi) R^2 H/3 if radius triples then volume goes as radius squared = 9 times more, so you would need to reduce height by 9 to keep same volume
What will happen to a spheres volume if the radius is tripled?
The volume increases 27-fold.
What is the effect on the volume of a right cylinder if its radius is tripled?
The volume increases to 9 times as much.
What happens to the volume a rectangular prism if the width is tripled?
A [multiplicative] change in one dimension makes the same change in the volume. So the volume would be tripled.
How do you get the volume if you have the radius and the height?
if its a cone: volume= (1/3) base* height or volume= (1/3) pi *radius*radius[r squared]* height
What creates a greater change in volume for a cylinder changing only the radius or changing only the height?
Changing the radius.
How do you find the height and radius of cylinder with only the volume?
The volume of a cylinder is (pi)r^2h. This means the volume is dependent on both the height and the radius of the cylinder. So, one must know Volume and either radius or height to calculate height or radius respectively.
How do you calculate the radius if you have height and volume?
(assuming its a cylinder) volume = pi * radius2 * height so: radius = square root ( volume / ( pi * height ) )
What is the answer to radius 9 height 21 volume of cylinder?
If the height is 9 and the volume is 21, then the radius = 0.8618
