SOLUTION: A cylindrical water container AA is 7cm in diameter and 5cm in height . another cylindrical container BB is twice the size of AA in diameter and height . how much more water can b
Algebra.Com
Question 272227: A cylindrical water container AA is 7cm in diameter and 5cm in height . another cylindrical container BB is twice the size of AA in diameter and height . how much more water can be stored in BB than AA ?
A 110 cubic cm
B 330 cubic cm
C 770 cubic cm
D 5,390 cubic cm
E 6,060 cubic cm
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
volume of a cylinder is pi * r^2 * h
7 cm diameter means 3.5 cm radius.
we have:
r = 3.5
h = 5
v = pi * r^2 * h = pi * 3.5^2 * 5 = 192.42255 cubic centimeters.
double the diameter and double the height and you get:
14 cm diameter means 7 cm radius.
we have:
r = 7
h = 10
v = pi * r^2 * h = pi * 7^2 * 10 = 1539.3804 cubic centimeters.
1539.3804 minus 192.42255 = 1346.95785 cubic centimeters.
The larger contains can hold 1346.95785 more cubic centimeters than the smaller container.
I don't see that selection so I would have to say none of the above.
RELATED QUESTIONS
A cylindrical container of height 28cm and diameter 18cm is filled with water. The water... (answered by ikleyn,greenestamps)
Three tennis balls, each of diameter 7cm, are sold in a cylindrical container. The... (answered by Alan3354,ikleyn)
A cylindrical container has a diameter of 10 in. and a volume of 549.5 in. What is the... (answered by mananth,ewatrrr)
A cylindrical container has a diameter of 12 in. And a volume of 678.24 what is the... (answered by Alan3354)
A cylindrical container with radius 10 cm is filled with water to a height of 2 cm. The... (answered by josgarithmetic)
A food manufacturer stores corn oil in a right circular cylindrical container. This... (answered by richwmiller)
A conical water filter has a diameter of 60cm and a depth of 24cm. It is filled to the... (answered by NeedHelpUrgently,Alan3354)
A conical water filter has a diameter of 60cm and a depth of 24cm. It is filled to the... (answered by Theo)
A large cylindrical container with a height of 32cm and a radius of 8cm has water in it... (answered by ikleyn)