SOLUTION: A circular swimming pool has a depth D and a radius that equals five times its depth. A rectangular pool has the same depth as the circular pool. Its width is four feet more than t
Algebra.Com
Question 19007: A circular swimming pool has a depth D and a radius that equals five times its depth. A rectangular pool has the same depth as the circular pool. Its width is four feet more than three times its depth and its length is two feet less than six times its depth. The ratio of the rectangular pool's volume to the circular pool's volume is .
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
A circular swimming pool has a depth D and a radius that equals five times its depth. A rectangular pool has the same depth as the circular pool. Its width is four feet more than three times its depth and its length is two feet less than six times its depth. The ratio of the rectangular pool's volume to the circular pool's volume is .
depth of circular pool =d
5 times the depth =5d=radius of pool
volume of circular pool=pi*(depth)*(radius)^2=pi*d*(5d)^2=pi*25*d^3
depth of rectangular pool =d
3 times depth =3d
4 ft. more than above =3d+4=width
6 times depth =6d
2 ft.less than this =6d-2=length
volume of rectangular pool =length*width*depth=(6d-2)(3d+4)d
ratio of rectangular pool volume to circular pool=(6d-2)(3d+4)d/(pi*25*d^3)
=2(3d-1)(3d+4)/(25pid^2)
RELATED QUESTIONS
A CIRCULAR SWIMMING POOL HAS A DEPTH D AND A RADIUS THAT EQUALS FIVE TIMES ITS DEPTH. A... (answered by venugopalramana)
a hose fills a rectangular swimming pool in two days. suppose that a similar pool has the (answered by josgarithmetic)
A circular swimming pool has a diameter of 8 M and a depth of 2 m. what is the volume of... (answered by mananth)
A circular swimming pool has a diameter of 8m and a depth of 2m. What is the volume of... (answered by Alan3354)
a circular wading pool has a diameter of 8 ft. a circular swimming pool has a radius of... (answered by TimothyLamb)
A circular swimming pool has a radius of 2.8 m and is 2 m deep. The pool is filled to a... (answered by ewatrrr)
Would you please help me with this one?
A rectangular swimming pool with dimensions... (answered by Alan3354)
A backyard swimming pool has a radius of 19-ft and depth of 4-ft. How many gallons of... (answered by ikleyn)
if a circular swimming pool has a diameter of 84 meters what is its... (answered by richard1234)