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geometry

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A storage tank is in the shape of a cylinder with a hemisphere on the top. The highest point on the inside of the storage tank is 13 meters above the floor of the storage tank, and the diameter inside the cylinder is 8 meters. Determine and state, to the nearest cubic meter, the total volume inside the storage tank.

A storage tank is in the shape of a cylinder with a hemisphere on the top. The highest point on the inside of the storage tank is 13 meters above the floor of the storage tank, and the diameter inside the cylinder is 8 meters. Determine and state, to the nearest cubic meter, the total volume inside the storage tank.

Answer(s): 1
Votes: 2

Tags: JMAP, geometry, math, hemisphere, cylinder


A company is creating an object from a wooden cube with an edge length of 8.5 cm. A right circular cone with a diameter of 8 cm and an altitude of 8 cm will be cut out of the cube. Which expression represents the volume of the remaining wood?

A company is creating an object from a wooden cube with an edge length of 8.5 cm. A right circular cone with a diameter of 8 cm and an altitude of 8 cm will be cut out of the cube. Which expression represents the volume of the remaining wood?

1) (8.5)3 − π(8)2 (8)

2) (8.5)3 − π(4)2 (8)

3) (8.5)3 − 1/3 π(8)2 (8)

4) (8.5)3 − 1/3 π(4)2 (8)

Answer(s): 1
Votes: 2

Tags: JMAP, geometry, math, cone, prism


A solid metal prism has a rectangular base with sides of 4 inches and 6 inches, and a height of 4 inches. A hole in the shape of a cylinder, with a radius of 1 inch, is drilled through the entire length of the rectangular prism.What is the approximate volume of the remaining solid, in cubic inches?

A solid metal prism has a rectangular base with sides of 4 inches and 6 inches, and a height of 4 inches. A hole in the shape of a cylinder, with a radius of 1 inch, is drilled through the entire length of the rectangular prism. What is the approximate volume of the remaining solid, in cubic inches? 1) 19 2) 77 3) 93 4) 96

Answer(s): 1
Votes: 2

Tags: JMAP, geometry, math, prism, cylinder


A vendor is using an 8-ft by 8-ft tent for a craft fair. The legs of the tent are 9 ft tall and the top forms a square pyramid with a height of 3 ft. What is the volume, in cubic feet, of space the tent occupies?

A vendor is using an 8-ft by 8-ft tent for a craft fair. The legs of the tent are 9 ft tall and the top forms a square pyramid with a height of 3 ft. What is the volume, in cubic feet, of space the tent occupies? 1) 256 2) 640 3) 672 4) 768

Answer(s): 1
Votes: 2

Tags: JMAP, geometry, math, pyramis, prism


What is the volume of the greenhouse?

The 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): 1
Votes: 2

Tags: JMAP, geometry, math, prism, cylinder


Determine and state the number of full cones of water needed to completely fill the cylinder with water.

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): 1
Votes: 2

Tags: 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 .

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): 1
Votes: 2

Tags: JMAP, geometry, math, cone


Approximate how much wax, to the nearest cubic centimeter, is needed to make this candle

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): 1
Votes: 2

Tags: 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

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): 1
Votes: 2

Tags: 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?

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): 1
Votes: 2

Tags: JMAP, geometry, math, cone