✅ 7th Grade Math (Pre-Algebra): Cylinders Quiz
✅ 7th Grade Math (Pre-Algebra): Cylinders Quiz
Which of the following best describes a cylinder?
A) A three-dimensional shape with two parallel and congruent circular bases connected by a curved surface.B) A three-dimensional shape with a square base and four triangular faces.
C) A two-dimensional shape with four equal sides and four right angles.
D) A three-dimensional shape with all flat faces and no curved surfaces.
A cylindrical can has a circular base. If the distance from the center of the base to its edge is 5 cm, what is this distance called?
A) HeightB) Diameter
C) Radius
D) Circumference
A cylinder has a base with a radius of 4 cm. What is the area of its circular base? (Use $\pi \approx 3.14$)
A) $12.56 \text{ cm}^2$B) $25.12 \text{ cm}^2$
C) $50.24 \text{ cm}^2$
D) $100.48 \text{ cm}^2$
A cylindrical pipe has a circular opening with a diameter of 10 inches. What is the circumference of this opening? (Use $\pi \approx 3.14$)
A) $15.7 \text{ inches}$B) $31.4 \text{ inches}$
C) $78.5 \text{ inches}$
D) $100 \text{ inches}$
What is the volume of a cylinder with a radius of 3 meters and a height of 7 meters? (Use $\pi \approx 3.14$)
A) $65.94 \text{ m}^3$B) $131.88 \text{ m}^3$
C) $197.82 \text{ m}^3$
D) $263.76 \text{ m}^3$
Which formula is used to calculate the volume of a cylinder?
A) $V = 2 \pi r h$B) $V = \pi r^2 h$
C) $V = \frac{1}{3} \pi r^2 h$
D) $V = \pi d h$
A cylindrical water tank has a diameter of 8 feet and a height of 12 feet. What is the volume of the tank? (Use $\pi \approx 3.14$)
A) $301.44 \text{ ft}^3$B) $602.88 \text{ ft}^3$
C) $1205.76 \text{ ft}^3$
D) $2411.52 \text{ ft}^3$
A cylindrical glass holds juice. If the glass has a radius of 3 cm and a height of 10 cm, how much juice can it hold? (Use $\pi \approx 3.14$)
A) $94.2 \text{ cm}^3$B) $188.4 \text{ cm}^3$
C) $282.6 \text{ cm}^3$
D) $314 \text{ cm}^3$
A cylinder has a volume of $300 \pi \text{ cm}^3$ and a radius of 5 cm. What is its height?
A) $10 \text{ cm}$B) $12 \text{ cm}$
C) $15 \text{ cm}$
D) $20 \text{ cm}$
Cylinder A has a radius of 2 inches and a height of 5 inches. Cylinder B has a radius of 3 inches and a height of 4 inches. Which cylinder has a greater volume, and by how much? (Leave answer in terms of $\pi$)
A) Cylinder A, by $16 \pi \text{ in}^3$B) Cylinder B, by $16 \pi \text{ in}^3$
C) Cylinder A, by $12 \pi \text{ in}^3$
D) Cylinder B, by $12 \pi \text{ in}^3$
A label covers the entire lateral surface of a cylindrical can. If the can has a radius of 4 cm and a height of 10 cm, what is the area of the label? (Use $\pi \approx 3.14$)
A) $50.24 \text{ cm}^2$B) $125.6 \text{ cm}^2$
C) $251.2 \text{ cm}^2$
D) $502.4 \text{ cm}^2$
A cylindrical container has a volume of $1570 \text{ cm}^3$ and a height of 20 cm. What is the radius of its base? (Use $\pi \approx 3.14$)
A) $3 \text{ cm}$B) $4 \text{ cm}$
C) $5 \text{ cm}$
D) $6 \text{ cm}$
A farmer needs to fill a cylindrical silo with grain. The silo has a diameter of 14 meters and a height of 15 meters. If one cubic meter of grain costs 2.50, what is the total cost to fill the silo completely? (Use $\pi \approx 3.14$)
A) 5,769.50B) 11,539.00
C) 23,078.00
D) 46,156.00
A cylindrical candle has a radius of 2 cm and a height of 10 cm. If the candle burns down at a rate of $10 \text{ cm}^3$ per hour, how long will it take for the entire candle to burn? (Use $\pi \approx 3.14$)
A) $6.28 \text{ hours}$B) $12.56 \text{ hours}$
C) $18.84 \text{ hours}$
D) $25.12 \text{ hours}$
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