Thank you for visiting A cylinder has a radius of 2 cm and a height of 5 cm What is its volume Use tex pi approx 3 14 tex. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To find the volume of a cylinder, we use the formula:
[tex]\[ V = \pi \cdot r^2 \cdot h \][/tex]
where:
- [tex]\( V \)[/tex] is the volume,
- [tex]\( \pi \)[/tex] is approximately 3.14,
- [tex]\( r \)[/tex] is the radius of the cylinder,
- [tex]\( h \)[/tex] is the height of the cylinder.
For this problem:
- The radius [tex]\( r \)[/tex] is 2 cm.
- The height [tex]\( h \)[/tex] is 5 cm.
Now, let's calculate the volume step-by-step:
1. Square the radius:
[tex]\[ r^2 = 2^2 = 4 \][/tex]
2. Multiply by the height:
[tex]\[ r^2 \times h = 4 \times 5 = 20 \][/tex]
3. Multiply by [tex]\(\pi\)[/tex]:
[tex]\[ \pi \cdot 20 = 3.14 \times 20 = 62.8 \][/tex]
So, the volume of the cylinder is 62.8 cm³.
The correct answer is B. [tex]\(62.8 \, \text{cm}^3\)[/tex].
[tex]\[ V = \pi \cdot r^2 \cdot h \][/tex]
where:
- [tex]\( V \)[/tex] is the volume,
- [tex]\( \pi \)[/tex] is approximately 3.14,
- [tex]\( r \)[/tex] is the radius of the cylinder,
- [tex]\( h \)[/tex] is the height of the cylinder.
For this problem:
- The radius [tex]\( r \)[/tex] is 2 cm.
- The height [tex]\( h \)[/tex] is 5 cm.
Now, let's calculate the volume step-by-step:
1. Square the radius:
[tex]\[ r^2 = 2^2 = 4 \][/tex]
2. Multiply by the height:
[tex]\[ r^2 \times h = 4 \times 5 = 20 \][/tex]
3. Multiply by [tex]\(\pi\)[/tex]:
[tex]\[ \pi \cdot 20 = 3.14 \times 20 = 62.8 \][/tex]
So, the volume of the cylinder is 62.8 cm³.
The correct answer is B. [tex]\(62.8 \, \text{cm}^3\)[/tex].
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