The volume of a cone, which is derived by treating it as a pyramid with infinitely many lateral faces, is given by the formula V = 
πr2h, where r is the radius of the base and h is the height. If the radius is halved and the height is doubled, what will be the ratio of the new volume to the old volume?
(F) 4:01
(G) 2:01
(H) 1:01
(J) 1:02
(K) 1:04
If 3(2x - 1) = 11x + 27, then x = ?
（A）-6 （B） -2 （C） 2 （D） 6 （E） 7
Correct Answer: A
A group of die-hard baseball fans has purchased a house that gives
them a direct view of home plate, although their view of the rest of the
field is largely impeded by the outfield wall. The house is 30 meters
tall, and their angle of vision from the top of the building to home
plate has a tangent of 
. What is the horizontal distance, in meters, from home plate to the closest wall of the fans' house?
(F) 35 (G) 32 (H) 25.7 (J) 5 (K) 4.3
Correct Answer: F
If ppercent of 250 is 75, what is 75% of p?
(A) 22.5(B) 25(C) 75(D) 225(E) 250
Correct Answer: A
More ACT Math Exam Questions
- 1
If x = -
and x = 
are the roots of the quadratic equation ax2 + bx + c = 0, then which of the following could represent the two factors of ax2 + bx + c? - 2If 6x + 3 = 12 + 3x, then x =?
- 3
A farmer sells strawberries at a market in both pint-sized containers and quart-sized containers. The farmer charges $3 for each pint, $5 for each quart, is always paid on the day of purchase, and sells no other goods. On a recent day, the farmer sold as many pint containers as quart containers and received $120 in sales. How many pints of strawberries did the farmer sell?
- 4In a certain town in New Hampshire, there are 7,695 registered voters, 60% of whom are Democrats. How many of the town's registered voters are Democrats?
- 5A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?