###### Asked in Math and ArithmeticAlgebraGeometry

Math and Arithmetic

Algebra

Geometry

# How does the volume change if the radius is tripled?

## Answer

###### Wiki User

###### May 13, 2012 6:50PM

It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.

## Related Questions

###### Asked in Math and Arithmetic, Algebra, Geometry

### If the radius of a circle is tripled what happens to the circumference?

Circumference = pi x diameter so if the radius is 5 then the
diameter is 10
Circumference = pi x 10 = 31.415
If we triple the radius to 15, then the diameter is 30, so
Circumference = pi x 30 = 94.245
Which looks like triple the first circumference. So if the
radius is tripled, the circumference is also tripled.

###### Asked in Math and Arithmetic, Algebra, Geometry

### When the radius of a circleis tripled what happens to the circumference and the area of the circle?

Circumference(C) = 2Ï€r
C is directly proportional to r.
If radius is tripled then circumference becomes three times of
the initial.
Since the radius is tripled so the new radius is 3r.
New circumference(C') = 2Ï€(3r) = 3 x (2Ï€r) = 3 x C
Area = Ï€r2
A is directly proportional to r2.
If radius is tripled then area becomes 9{square of 3} times of
the initial.
New radius is 3r.
New Area(A') = Ï€ (3r)2 = 9 x Ï€ r2 = 9 x A.

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