The volume of a certain right circular cylinder is 16. A larger circular cylinder has radius 25% greater and height 50% greater than the radius and height respectively, of the smaller cylinder. What is the volume of the larger cylinder

Step-by-step explanation:

Given

Represent the height of the smaller cylinder with h and its radius with r.

The height (H) of the larger cylinder is

And the radius (R) is;

Required

Determine the volume of the larger cylinder

Volume of the smaller cylinder is:

Substitute 16 for V1

While the volume of the larger cylinder is:

We have that:

and

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Simplify both expressions

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Substitute values for R and H in

Collect Like Terms

Recall that:

Hence, the volume of the larger cylinder is 37.5

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

answer: hey there,

the answer you are looking for is a..

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