Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

A cylinder has a height of 16 yards. Its volume is 6,079.04 cubic yards. What is the radius
the cylinder?


Sagot :

Answer:

The radius of the cylinder is: r = 11 yards

Step-by-step explanation:

Given

The height of cylinder = h = 16 yards

Volume of cylinder = V = 6079.04 cubic yards

To determine

The radius of cylinder = r = ?

Using the formula involving volume of the cyliner

V = πr²h

substituting h = 16, V = 6079.04 and π = 3.14

6079.04 = 3.14 (r²) 16

r² = [6079.04] / [(3.14) (16)]

r² = 6079.04 / 50.24

r² = 121

[tex]r=\sqrt{121},\:r=-\sqrt{121}[/tex]

[tex]r=11,\:r=-11[/tex]

As radius can not be negative.

Therefore, the radius of the cylinder is: r = 11 yards