Question:
What is the volume of a cylinder with a radius of 3 units and a height of 5 units? (Use \(\pi \approx 3.14\))
What is the volume of a cylinder with a radius of 3 units and a height of 5 units? (Use \(\pi \approx 3.14\))
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Remember that volume is always measured in cubic units. Be careful not to use the formula for the surface area of a cylinder by mistake. Volume relates to the capacity, while surface area relates to the material needed to construct it.
Updated On: Oct 4, 2025
- 141.3 cubic units
- 282.6 cubic units
- 94.2 cubic units
- 235.8 cubic units
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept
The volume of a cylinder is the amount of space it occupies. It is calculated by multiplying the area of its circular base by its height.
Step 2: Key Formula or Approach
The formula for the volume (V) of a cylinder is:
\[ V = \pi r^2 h \] where 'r' is the radius of the base, 'h' is the height, and \(\pi\) is approximately 3.14.
Step 3: Detailed Explanation
We are given the following values:
Radius (r) = 3 units
Height (h) = 5 units
\(\pi \approx 3.14\)
Substitute these values into the volume formula:
\[ V = 3.14 \times (3)^2 \times 5 \] \[ V = 3.14 \times 9 \times 5 \] \[ V = 28.26 \times 5 \] \[ V = 141.3 \text{ cubic units} \] Step 4: Final Answer
The volume of the cylinder is 141.3 cubic units.
The volume of a cylinder is the amount of space it occupies. It is calculated by multiplying the area of its circular base by its height.
Step 2: Key Formula or Approach
The formula for the volume (V) of a cylinder is:
\[ V = \pi r^2 h \] where 'r' is the radius of the base, 'h' is the height, and \(\pi\) is approximately 3.14.
Step 3: Detailed Explanation
We are given the following values:
Radius (r) = 3 units
Height (h) = 5 units
\(\pi \approx 3.14\)
Substitute these values into the volume formula:
\[ V = 3.14 \times (3)^2 \times 5 \] \[ V = 3.14 \times 9 \times 5 \] \[ V = 28.26 \times 5 \] \[ V = 141.3 \text{ cubic units} \] Step 4: Final Answer
The volume of the cylinder is 141.3 cubic units.
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