📄 7th Grade Math (Pre-Algebra): Cylinders Worksheet
📌 1. True / False
1. A cylinder has two circular bases that are parallel to each other.
2. The volume of a cylinder is calculated by multiplying the area of its base by its height.
3. The curved surface of a cylinder is also known as its lateral surface.
4. The radius of a cylinder is the distance across the entire circular base through its center.
5. A cylinder is a type of polygon.
✏️ 2. Fill in the Blanks
1. A cylinder is a three-dimensional shape with two parallel and congruent bases.
2. The distance between the two circular bases of a cylinder is called its .
3. The formula for the area of the circular base of a cylinder is .
4. The of a cylinder is the amount of space it occupies.
5. If the diameter of a cylinder's base is 10 cm, its radius is cm.
🔗 3. Matching
« A three-dimensional geometric shape with two parallel and congruent circular bases connected by a curved lateral surface.
« The distance from the center of a circle to any point on its circumference.
« The perpendicular distance between the two bases of a cylinder.
« The amount of space occupied by a three-dimensional object, measured in cubic units.
« The curved surface that connects the two circular bases of a cylinder.
✍️ 4. Short Answer Questions
1. Describe in your own words what makes a shape a cylinder.
💡 Suggested Answer: A cylinder is a 3D shape that has two identical circular bases that are parallel to each other. These bases are connected by a single curved surface.
2. If a cylinder has a radius of 5 cm, what is the area of its base? (Use \( \pi \approx 3.14 \))
💡 Suggested Answer: The formula for the area of a circular base is \( A = \pi r^2 \). Given \( r = 5 \text{ cm} \) and \( \pi \approx 3.14 \), the area is \( A = 3.14 \times (5)^2 = 3.14 \times 25 = 78.5 \text{ cm}^2 \).
🎯 5. Multiple Choice
1. Which of the following is NOT a characteristic of a cylinder?
2. A cylinder has a base area of \( 36 \pi \text{ cm}^2 \) and a height of 8 cm. What is its volume?
3. If the radius of a cylinder's base is 6 meters, what is the diameter of its base?
📝 6. Open-Ended Questions
1. A cylindrical can has a radius of 4 cm and a height of 10 cm. Calculate its volume. (Use \( \pi = 3.14 \))
💡 Solution Steps:
The formula for the volume of a cylinder is \( V = \pi r^2 h \). \\ Given: \\ Radius \( r = 4 \text{ cm} \) \\ Height \( h = 10 \text{ cm} \) \\ \( \pi \approx 3.14 \) \\ Substitute the values into the formula: \\ \( V = 3.14 \times (4)^2 \times 10 \) \\ \( V = 3.14 \times 16 \times 10 \) \\ \( V = 3.14 \times 160 \) \\ \( V = 502.4 \text{ cm}^3 \) \\ The volume of the cylindrical can is \( 502.4 \text{ cubic centimeters} \).
2. A cylindrical water tank has a volume of \( 6280 \text{ cm}^3 \) and a base radius of 10 cm. What is the height of the tank? (Use \( \pi = 3.14 \))
💡 Solution Steps:
The formula for the volume of a cylinder is \( V = \pi r^2 h \). \\ We need to find the height \( h \). We can rearrange the formula to solve for \( h \): \\ \( h = \frac{V}{\pi r^2} \) \\ Given: \\ Volume \( V = 6280 \text{ cm}^3 \) \\ Radius \( r = 10 \text{ cm} \) \\ \( \pi \approx 3.14 \) \\ Substitute the values into the formula: \\ \( h = \frac{6280}{3.14 \times (10)^2} \) \\ \( h = \frac{6280}{3.14 \times 100} \) \\ \( h = \frac{6280}{314} \) \\ \( h = 20 \text{ cm} \) \\ The height of the cylindrical water tank is \( 20 \text{ centimeters} \).
3. A cylindrical pillar has a radius of 0.5 meters and a height of 4 meters. What is the area of its curved lateral surface? (Use \( \pi = 3.14 \))
💡 Solution Steps:
The formula for the lateral surface area of a cylinder is \( A_{lateral} = 2 \pi r h \). \\ Given: \\ Radius \( r = 0.5 \text{ meters} \) \\ Height \( h = 4 \text{ meters} \) \\ \( \pi \approx 3.14 \) \\ Substitute the values into the formula: \\ \( A_{lateral} = 2 \times 3.14 \times 0.5 \times 4 \) \\ \( A_{lateral} = 3.14 \times 1 \times 4 \) \\ \( A_{lateral} = 3.14 \times 4 \) \\ \( A_{lateral} = 12.56 \text{ m}^2 \) \\ The area of the curved lateral surface of the cylindrical pillar is \( 12.56 \text{ square meters} \).
Name Surname: .................................. Date: .... / .... / 202...
Cylinders Worksheet
SCORE
A. True (T) / False (F)
( .... )
A cylinder has two circular bases that are parallel to each other.
( .... )
The volume of a cylinder is calculated by multiplying the area of its base by its height.
( .... )
The curved surface of a cylinder is also known as its lateral surface.
( .... )
The radius of a cylinder is the distance across the entire circular base through its center.
( .... )
A cylinder is a type of polygon.
B. Fill in the Blanks
1)
A cylinder is a three-dimensional shape with two parallel and congruent .................... bases.
2)
The distance between the two circular bases of a cylinder is called its .....................
3)
The formula for the area of the circular base of a cylinder is .....................
4)
The .................... of a cylinder is the amount of space it occupies.
5)
If the diameter of a cylinder's base is 10 cm, its radius is .................... cm.
C. Matching Concepts
( .... )
A three-dimensional geometric shape with two parallel and congruent circular bases connected by a curved lateral surface.
- Radius
( .... )
The distance from the center of a circle to any point on its circumference.
- Cylinder
( .... )
The perpendicular distance between the two bases of a cylinder.
- Volume
( .... )
The amount of space occupied by a three-dimensional object, measured in cubic units.
- Lateral Surface
( .... )
The curved surface that connects the two circular bases of a cylinder.
- Height
D. Short Answer Questions
1)
Describe in your own words what makes a shape a cylinder.
2)
If a cylinder has a radius of 5 cm, what is the area of its base? (Use \( \pi \approx 3.14 \))
E. Multiple Choice Questions
1)
Which of the following is NOT a characteristic of a cylinder?
A) It has two circular bases.B) Its bases are parallel.C) It has flat polygonal sides.D) It has a curved lateral surface.
2)
A cylinder has a base area of \( 36 \pi \text{ cm}^2 \) and a height of 8 cm. What is its volume?