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The Candle Company is designing a new cylindrical candle. They are looking at four different molds. Which mold will use the

least amount of wax?

Mold

A

B

Candle Mold Choices

Diameter

2 inches

2 inches

inches

inches

Height

7 inches

4 inches

3 inches

3 inches

C

D

3

4

Recall the formula V= 72.

Mold A

Mold B

Mold C

Mold D

2 Answers

1 vote

Answer:

B

Explanation:

User Sly
by
4.9k points
2 votes

Answer:

mold B

Explanation:

The molds are of cylindrical shape. The volume of a cylinder is given by:

Volume = πr²h

where r is the radius and h is the height.

For mold A: diameter = 2 inches, hence radius = 1 inch. Height = 7 inches

volume = π(1²)7 = 7π in³

For mold B: diameter = 2 inches, hence radius = 1 inch. Height = 4 inches

volume = π(1²)4 = 4π in³

For mold C: diameter = 3 inches, hence radius = 1.5 inch. Height = 3 inches

volume = π(1.5²)3 = 6.75π in³

For mold C: diameter = 4 inches, hence radius = 1.5 inch. Height = 3 inches

volume = π(2²)3 = 12π in³

Therefore mold B has the smallest volume

The Candle Company is designing a new cylindrical candle. They are looking at four-example-1
User Tan Duong
by
6.0k points