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How does the volume of a cone change if its radius and height are both tripled?
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.
How many times does the volume of a Sphere increases if the radius is tripled?
The volume of the larger sphere will be 27 times the original. Here's the math: Volume of sphere of radius r is (4/3) x pi x r3 Volume of sphere of radius 3r is (4/3) x pi x (3r)3 or 27r3
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 happens to the diamenter of a circle if you triple the radius?
It will be twice the size of the tripled radius
Do rates in math change if they are tripled?
The answer depends on what is tripled.
How does the volume of a cone change if the radius is tripled?
it looks like a circle.
How does the volume of a cone change if its radius and height are both tripled?
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.
What will happen to a spheres volume if the radius is tripled?
The volume increases 27-fold.
What happens to the volume of a cylinder if the radius and height are tripled?
The original volume is multiplied by 27.
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 many times does the volume of a sphere increase if the radius is tripled?
The new volume is 3^3 = 27 times as much.
If the radius of a sphere is tripled what is going to happen to surface area?
If the radius of a sphere is tripled, the surface area increases by (3)2 = 9 times, and the volume increases by (3)3 = 27 times.
What happens if a circle's radius is tripled?
If the radius is tripled then the Area will be greater by a factor of 9. And the circumference will be greater by a factor of 3.
How many times does the volume of a Sphere increases if the radius is tripled?
The volume of the larger sphere will be 27 times the original. Here's the math: Volume of sphere of radius r is (4/3) x pi x r3 Volume of sphere of radius 3r is (4/3) x pi x (3r)3 or 27r3
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 happens to the diamenter of a circle if you triple the radius?
It will be twice the size of the tripled radius
