A French Fry Stand At The Fair Serves Their Fries In Paper Cones. The Cones Have A Radius Of 2 Inches And A Height Of 6 Inches. It Is A Challenge To F

A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 2 inches and a height of 6 inches. It is a challenge to fill the narrow cones with their long fries. They want to use new cones that have the same volume as their existing cones but a larger radius of 4 inches.

What will the height of the new cones be?

Answer:

1.5 inches

Step-by-step explanation:

First, we need to find out the volume of the cone that was in use.

Volume of a cone can be found using the formula 1/3 πr²h.

Find volume:

Volume = 1/3 πr²h

Volume =  1/3 π(2)²(6) = 8π in³

Now that we know the volume, we can find the new height by applying the formula of the volume one more time and changing the radius to 4 in.

Find the new height:

Volume = 1/3 πr²h

8π = 1/3 π(4)²h

8π = 16π/3 h

h = 8π ÷ 16π/3

h = 3/2 in or 1.5 in

Answer: The new height is 1.5 inches.


Comments

Popular posts from this blog

Papaano Natamasa Ng Japan Ang Moderninasyon?

Paano Na Aapektuhan Ang Mga Gawain Nang Mnlf Ang Ekonomiya

Konklusyon At Rekomendasyon Sa Pagtaas Ng Presyo Sa Pamilihan