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A waffle cone for ice cream has a diameter of 8 centimeters and a height of 12 centimeters. What is the volume of the cone, in cubic centimeters?

A. 64π cubic centimeters
B. 32π cubic centimeters
c. 256π cubic centimeters
D. 192π cubic centimeters

Casandra finds a treasure chest packed with metallic coins. The chest has a volume of 0.25 cubic meters. The coins have a combined mass of 4825 kg. Hoping to find gold, she calculates the density to determine the metal of the coins.
What kind of metal are the coins made of?

Bronze (8700 kg per cubic meter)

Silver (10500 kg per cubic meter)

Lead (11300 kg per cubic meter)

Gold (19300 kg per cubic meter)



A cylinder with radius 3 units is shown. Its volume is 86 cubic units.

Find the height of the cylinder.
Use 3.14 for π and round your final answer to the nearest hundredth.

User Sid Mehta
by
5.9k points

2 Answers

3 votes
answer A
Gold
4.56 for the height

User Eraj
by
6.3k points
6 votes

Answer:

A. 64π cubic centimeters

D. Gold (19300 kg per cubic meter)

The height of the cylinder is 3.04 unit

Explanation:

A waffle cone for ice cream has a diameter of 8 centimeters and a height of 12 centimeters. What is the volume of the cone, in cubic centimeters?

A. 64π cubic centimeters

B. 32π cubic centimeters

c. 256π cubic centimeters

D. 192π cubic centimeters

EXPLANATION

Volume of a cone is given by the formula V=
(\pi*r^(2)*h )/(3)

V =
(\pi *4^(2)*12 )/(3) = 64π

The correction option is A

Casandra finds a treasure chest packed with metallic coins. The chest has a volume of 0.25 cubic meters. The coins have a combined mass of 4825 kg. Hoping to find gold, she calculates the density to determine the metal of the coins.

What kind of metal are the coins made of?

Bronze (8700 kg per cubic meter)

Silver (10500 kg per cubic meter)

Lead (11300 kg per cubic meter)

Gold (19300 kg per cubic meter)

the formula for Density is density = mass/volume

The density of the metal = 4825/0.25 = 19,300kg.

Therefor the coins are made of Gold

The correction option is D

A cylinder with radius 3 units is shown. Its volume is 86 cubic units.

Find the height of the cylinder.

Use 3.14 for π and round your final answer to the nearest hundredth.

The volume of a cylinder is given as V= πr^2h

86 =3.14 * 3^2*h

Make h the subject of the formula h =86/(3.14*9) =86/28.26 =3.04 unit

The height of the cylinder is 3.04 unit

User Kylo Rey
by
6.4k points
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