mycollegehive
mycollegehive
math
843 questionsThe greenhouse pictured below can be modeled as a rectangular prism with a half-cylinder on top. The rectangular prism is 20 feet wide, 12 feet high, and 45 feet long. The half-cylinder has a diameter of 20 feet. To the nearest cubic foot, what is the volume of the greenhouse? 1) 17,869 3) 39,074 2) 24,937 4) 67,349
Answer(s): 1Tags: JMAP, geometry, math, prism, cylinder
In the diagram below, a right circular cone with a radius of 3 inches has a slant height of 5 inches, and a right cylinder with a radius of 4 inches has a height of 6 inches. Determine and state the number of full cones of water needed to completely fill the cylinder with water.
Answer(s): 1Tags: JMAP, geometry, math, cone
A paper container in the shape of a right circular cone has a radius of 3 inches and a height of 8 inches. Determine and state the number of cubic inches in the volume of the cone, in terms of π .
Answer(s): 1Tags: JMAP, geometry, math, cone
A candle maker uses a mold to make candles like the one shown below. The height of the candle is 13 cm and the circumference of the candle at its widest measure is 31.416 cm. Use modeling to approximate how much wax, to the nearest cubic centimeter, is needed to make this candle. Justify your answer.
Answer(s): 1Tags: JMAP, geometry, math, cone
Jaden is comparing two cones. The radius of the base of cone A is twice as large as the radius of the base of cone B. The height of cone B is twice the height of cone A. The volume of cone A is
1) twice the volume of cone B
2) four times the volume of cone B
3) equal to the volume of cone B
4) equal to half the volume of cone B
Answer(s): 1Tags: JMAP, geometry, math, cone
An ice cream waffle cone can be modeled by a right circular cone with a base diameter of 6.6 centimeters and a volume of 54.45π cubic centimeters. What is the number of centimeters in the height of the waffle cone?
1) 3 3/4
2) 5
3) 15
4) 24 3/4
Answer(s): 1Tags: JMAP, geometry, math, cone
A cone has a volume of 108π and a base diameter of 12. What is the height of the cone?
1) 27
2) 9
3) 3
4) 4
Answer(s): 1Tags: JMAP, geometry, math, cone
A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height?
1) 1.2
2) 3.5
3) 4.7
4) 14.1
Answer(s): 1Tags: JMAP, geometry, math, cone
A right circular cone has a diameter of 10√2 and a height of 12. What is the volume of the cone in terms of π?
1) 200π
2) 600π
3) 800π
4) 2400π
Answer(s): 1Tags: JMAP, geometry, math, cone
As shown in the diagram below, the radius of a cone is 2.5 cm and its slant height is 6.5 cm. How many cubic centimeters are in the volume of the cone? 1) 12.5π 2) 13.5π 3) 30.0π 4) 37.5π
Answer(s): 1Tags: JMAP, geometry, math, cone