The region between the graphs of X = y2 and X = 5y is rotated around the line y=5. The volume of the resulting solid is.

Answer and Step-by-step explanation:

The volume of the resulting solid is shown below:-

The lines in for

y can be y = sqrt(x) using square root

and y = x ÷ 5

In this, the intersect is done when sqrt(x) = x ÷ 5  using square root

Now

x = x^2 ÷ 25

x = 0

or

x = 25

so outermost is x ÷ 5 innermost is sqrt(x)  using square root

Therefore A is

= integral of pi ( (x ÷ 5-5)^2 - (sqrt(x)-5)^2)  using square root

from 0 to 25

= 625 pi ÷ 6

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

7.

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16.

17.

16 is the absolute value

step-by-step explanation: