139k views
1 vote
A cylindrical rain barrel has a radius of 2 feet and holds a total of 30 cubic feet of water. How tall is the rain barrel?

a.58 feet
b.39 feet
c.57 feet
d.78 feet

User JREN
by
8.1k points

1 Answer

4 votes

Final answer:

To find the height of a cylindrical rain barrel with a radius of 2 feet and a volume of 30 cubic feet, we use the volume formula for a cylinder. The calculated height is approximately 2.39 feet, and none of the given answer choices are correct.

Step-by-step explanation:

The question is asking to calculate the height of a cylindrical rain barrel given its radius and total volume. To find the height of the cylinder, we use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.

We know the radius r = 2 feet and the volume V = 30 cubic feet. Plugging these into the formula, we get:

  • 30 = π × (2)² × h
  • 30 = π × 4 × h
  • 30 = 4πh
  • ÷ (4π) ÷ (4π)
  • h = 30 / (4π)

Using a calculator, we find h = 30 / (4×3.14) which approximately equals 2.39 feet. Therefore, none of the options given (a. 58 feet, b. 39 feet, c. 57 feet, d. 78 feet) are correct; it seems there might be a typo with the options provided.

User Tomasina
by
7.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories