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Q: The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius holds 1½ pints, how many gallons will a similar can with a 24-inch
A: Solution:using 8 pints/gallon and S an unknown constant vol varies as r^3 So vol = S * r^3; S*6^3 = 1.5; S*24^3 = x ; 1.5 is to S*6^3 as x is to S*24^3 1.5/S*6^3 = x/S*24^3; x = 1.5 * (24/6)^3; x = (1.5 * 24^3)/6^3 = 1.5 * 4^3 = 96 pints; 96 [ pints * 1 gallon/8 pints = 12 gallons ]
Original conversation
User: The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius holds 1½ pints, how many gallons will a similar can with a 24-inch radius hold?

Weegy: Solution:using 8 pints/gallon and S an unknown constant vol varies as r^3 So vol = S * r^3; S*6^3 = 1.5; S*24^3 = x ; 1.5 is to S*6^3 as x is to S*24^3 1.5/S*6^3 = x/S*24^3; x = 1.5 * (24/6)^3; x = (1.5 * 24^3)/6^3 = 1.5 * 4^3 = 96 pints; 96 [ pints * 1 gallon/8 pints = 12 gallons ]
prabhjyot|Points 30|

User: The least speed in miles per hour that an airplane can safely land is inversely proportional to the area of its wings. If an airplane with a wing area of 360 sq. ft. can land safely at 55 mph, at what speed could a plane land with a wing area of 450 sq. ft.?

Weegy: 44 is the speed could a plane land with a wing area of 450 sq. ft.
jeifunk|Points 9984|

User: The heat developed in an electric wire varies jointly as the wire's resistance, the time the current flows, and the square of the current. In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?

Weegy: What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes? The answer is: 4
alfred123|Points 2014|

User: Identify the variation as direct, inverse, joint or combined. xy = 24

Weegy: xy/z=c COMBINED VARIATION Since increasing x would make y get smaller but increasing z would make y get bigger, this is a combined variation.

User: Identify the variation as direct, inverse, joint or combined. i = 2pr

Weegy: Identify the variation as direct, inverse, joint or combined. i = 2pr - joint
Controler|Points 3928|

User: Identify the variation as direct, inverse, joint or combined. y = 7x

Weegy: DIRECT: y = 3 x INVERSE: y = 5 / x, or xy=5 JOINT: z = 5xy combined just means a mixture of some of the above. Like: z=5xy/w
arrabalon|Points 75|

User: The number of revolutions of two pulleys is inversely proportional to their diameters. If a 24-inch diameter pulley making 400 revolutions per minute is belted to an 8-inch diameter pulley, find the number of revolutions per minute of the smaller pulley.

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