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r-ruslan [8.4K]
3 years ago
5

2. Brian is filling a conic container with water. He has the container half full. The radius of the container is 5 inches and th

e height is 20 inches. (a) What is the current volume of the water? Show your work and explain your steps. (b) If Brian wants to transfer the water to a cylinder with a radius of 5 inches, and fill it completely, what height would the cylinder have to be? Show your work and explain your steps.
Mathematics
1 answer:
MakcuM [25]3 years ago
5 0

Answer:

current volume of the water = 785.714 in²

Height of new container = 10 inches

Step-by-step explanation:

Radius of the container = 5 inches

Height of the container = 20 inches

Volume of the container = πR²H = (22/7) × 5² × 20 = 1571.428571428 in²

Since the container is half filled with water, volume of the water = 1571.428571428 ÷ 2 = 785.714 in²

b. Volume of cylinder = πR²H = volume of water from first container = 785.714 in²

Hence 785.714 = (22/7) × 5² × H

H = (785.714) ÷ [(22/7) × 25] = 10 inches

Height of new container = 10 inches

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