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.

Answer 1

Answer:

Step-by-step explanation:

V=4/3πr³

v = 1.33*3.142*9³

v = 3046.39in³

New scale = 3046.39*1.5

= 4,569.59in³

Answer 2

Answer:

V = 10,305.99 in^3

Step-by-step 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