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35 votes
A cylinder has a height of 6 feet and a radius of 11 feet. What is its volume? Use ≈ 3.14

and round your answer to the nearest hundredth.
cubic feet

User Yago Riveiro
by
3.1k points

2 Answers

17 votes
17 votes

Answer:

V = 2279.64 ft³ (nearest hundredth)

Explanation:

Volume of a cylinder: πr²h

Given:

  • r (radius) = 11 ft.
  • h (height) = 6 ft.
  • π ≈ 3.14

Substitute the given values to find the volume:

V = (3.14)(11²)(6)

V = (3.14)(121)(6)

V = 2279.64 ft³ (nearest hundredth)

Hope this helps!

User Kerianne
by
2.8k points
12 votes
12 votes

Step by step explaination :

Here we have been given with the height and radius of cylinder that us 6ft and 11ft respectively.

  • Radius = 11ft
  • Height = 6ft

We need to calculate the volume of cylinder.

So we would be using the formula of calculating the volume of cylinder.

  • V = πr²h

Here,

  • r is radius
  • h is height
  • Value of π is 3.14

Substituting the values :

>> V = 3.14 (11)² (6)

>> V = 3.14 × (11)² × (6)

>> V = 3.14 × (11 × 11) × 6

>> V = 3.14 × 121 × 6

>> V = 3.14 × 726

>> V = 314 × 726 / 100

>> V = 227964 / 100

>> V = 2279.64

Therefore,

  • Volume of cylinder is 2280ft³

User Poldixd
by
2.9k points