Question

A sphere has a radius of 9 in. An artist creates a replica of the structure that has been scaled up by a factor of 1.5.

What is the volume of the replica in cubic inches?

Answer 1

V = 10,305.99 in^3

Explanation:

A sphere has a radius of 9 in. An artist creates a replica of the structure that has been scaled up by a factor of 1.5.

What is the volume of the replica in cubic inches?

Since we are SCALING UP, the value we are given needs to be multiplied by the scale factor. So, 9 * 1.5 = 13.5. Now we can take the equation to solve for the volume of a circle : V = 4/3 * π * r^3

And then we plug in our radius (13.5)

V = 4/3 * π * 13.5^3 = 10,305 in^3

Answer 2

Explanation:

V=4/3πr³

v = 1.33*3.142*9³

v = 3046.39in³

New scale = 3046.39*1.5

= 4,569.59in³