Answer: Second option is correct.
Explanation:
Since we have given that
Radius of cylinder (r)= 6 cm
Height of cylinder (h) = 10 cm
According to question, one of the company's clients needs a cylindrical can that has the same volume but is 15 cm tall.
So, Height of new cylinder (H) = 15 cm
Radius of new cylinder = R cm
As we know the formula for " Volume of cylinder ":
[tex]\pi r^2h=\pi R^2H\\\\6\times 6\times 10=R^2\times 15\\\\360=R^2\times 15\\\\\frac{360}{15}=R^2\\\\24=R^2\\\\\sqrt{24}=R\\\\4.9\ cm=R[/tex]
Hence, Second option is correct.
The new radius needed to meet the client’s need is 4.9 cm.
An equation is an expression that shows the relationship between two or more numbers and variables.
The volume of the cylinder is:
Volume = π * radius² * height
For radius of 6 and height of 10 cm:
Volume = π * (6)² * 10 = 360π cm³
For a height of 15 cm:
360π = π * (r)² * 15
r = 4.9 cm
The new radius needed to meet the client’s need is 4.9 cm.
Find out more on equation at: https://brainly.com/question/2972832
