A container is an open cylinder whose height and radius are of equal length. The total surface area of the container is 300 cm³.
Find the radius of the container.
1 answer:
Answer:
- The radius of the container is approximately 4.89 cm
Step-by-step explanation:
<h3>
Given </h3>
A container with:
<h3>
To find</h3>
- The radius of the container
<h3>Solution</h3>
Use the equation for total surface area of cylinder:
- S = 2πr² + 2πrh or S = 2πr(r + h)
Since we have r = h and the value of S is known, let's solve this equation:
- 2πr(r + h) = 300
- 2πr(r + r) = 300
- 2πr(2r) = 300
- 4πr² = 300
- πr² = 75
- 3.14r² = 75
- r² = 75/3.14
- r² = 23.89 (rounded)
- r = √23.89
- r = 4.89 cm (rounded)
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