Given the dimensions of the cylinder are a radius of 5 inches and height of 7.5 inches.
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Determining the radius of the circular base:
- Radius = 5 inches (already provided)
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Determining the area of the circular base:
- The area \( A \) of a circle is calculated using the formula: \[ A = \pi r^2 \]
- Here, \( r = 5 \) inches and \( \pi = 3.14 \).
- So, \[ A = 3.14 \times (5)^2 = 3.14 \times 25 = 78.5 \text{ square inches} \]
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Determining the height of the cylinder:
- Height = 7.5 inches (already provided)
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Determining the volume of the cylinder:
- The volume \( V \) of a cylinder is calculated using the formula: \[ V = \pi r^2 h \]
- Here, \( r = 5 \) inches and \( h = 7.5 \) inches.
- So, \[ V = 3.14 \times (5)^2 \times 7.5 = 3.14 \times 25 \times 7.5 \] \[ = 3.14 \times 187.5 = 588.75 \text{ cubic inches} \]
Final Answers:
- Radius of the circular base: 5 inches
- Area of the circular base: 78.5 square inches
- Height of the cylinder: 7.5 inches
- Volume of the cylinder: 588.75 cubic inches