The radius of the sphere is 9 cm and this can be determined by using the properties of the circumscribed cylinder.
Given :
The volume of a circumscribed cylinder is 1458π cm cubed.
The following steps can be used in order to determine the radius of a sphere:
Step 1 - Remember the height of the circumscribed cylinder is twice of its radius.
Step 2 - The volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
Step 3 - From step (1) it can be concluded that the volume of the circumscribed cylinder is given by:
[tex]\rm V = \pi r^2 (2r)[/tex]
[tex]\rm V = 2\pi r^3[/tex]
Step 4 - Substitute the value of 'V' in the above expression.
[tex]\rm 1458\pi = 2\pi r^3[/tex]
Step 5 - Simplify the above expression in order to determine the value of 'r'.
r = 9 cm
Step 6 - Therefore, the radius of the sphere is also 9 cm.
For more information, refer to the link given below:
https://brainly.com/question/20488029
