Can company makes a cylindrical can that has a radius of 6 cm and a height of 10 cm. One of the company's clients needs a cylindrical can that has the same volume but is 15 cm tall. What must the new radius be to meet the client's need? Round to the nearest tenth of a centimeter.

the new radius be to meet the client's need is 4.9 cm .

Step-by-step explanation:

Here we have , can company makes a cylindrical can that has a radius of 6 cm and a height of 10 cm. One of the company's clients needs a cylindrical can that has the same volume but is 15 cm tall. We need to find What must the new radius be to meet the client's need . Let's find out:

Let we have two cylinders of volume with parameters as follows :

We know that volume of cylinder is , According to question volume of both cylinder is equal i.e

⇒

⇒

⇒

⇒

⇒                   Putting all values

⇒

⇒

⇒

⇒

⇒

Therefore , the new radius be to meet the client's need is 4.9 cm .

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

(a) the volume of the cone is 20/3 in3

hence, option a is correct.