Question
Find the height of a cylinder with a volume of 602.9 cm3 and a radius of 8 cm. Use 3.14 for π
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6 cm
3 cm
24 cm
12 cm
Answers
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Answered by
GPT-4o mini
To find the height of a cylinder, you can use the formula for the volume of a cylinder:
\[
V = \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius, and
- \( h \) is the height.
Given:
- Volume \( V = 602.9 \, \text{cm}^3 \)
- Radius \( r = 8 \, \text{cm} \)
- \( \pi \approx 3.14 \)
First, substitute the values into the formula:
\[
602.9 = 3.14 \times (8^2) \times h
\]
Calculating \( 8^2 \):
\[
8^2 = 64
\]
Now, substitute this back in:
\[
602.9 = 3.14 \times 64 \times h
\]
Calculating \( 3.14 \times 64 \):
\[
3.14 \times 64 = 200.96
\]
Now, we have:
\[
602.9 = 200.96 \times h
\]
To find \( h \), divide both sides by 200.96:
\[
h = \frac{602.9}{200.96} \approx 2.995
\]
Rounding to a reasonable number gives us \( h \approx 3 \, \text{cm} \).
Thus, the height of the cylinder is approximately **3 cm**.
\[
V = \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius, and
- \( h \) is the height.
Given:
- Volume \( V = 602.9 \, \text{cm}^3 \)
- Radius \( r = 8 \, \text{cm} \)
- \( \pi \approx 3.14 \)
First, substitute the values into the formula:
\[
602.9 = 3.14 \times (8^2) \times h
\]
Calculating \( 8^2 \):
\[
8^2 = 64
\]
Now, substitute this back in:
\[
602.9 = 3.14 \times 64 \times h
\]
Calculating \( 3.14 \times 64 \):
\[
3.14 \times 64 = 200.96
\]
Now, we have:
\[
602.9 = 200.96 \times h
\]
To find \( h \), divide both sides by 200.96:
\[
h = \frac{602.9}{200.96} \approx 2.995
\]
Rounding to a reasonable number gives us \( h \approx 3 \, \text{cm} \).
Thus, the height of the cylinder is approximately **3 cm**.
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