Volume of prisms, cylinders, pyramids, and cones

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height.

Front

What does 'base area' refer to in volume calculations?

Back

Base area is the area of the shape that forms the base of the solid.

Front

How do you calculate the area of a circle?

Back

Area = πr², where r is the radius.

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π(3)²(5) = 141.3 cm³.

Front

What is the height of a pyramid if its volume is 24 cm³ and the base area is 12 cm²?

Back

Height = (3 × Volume) / Base Area = (3 × 24) / 12 = 6 cm.

Front

If a cone has a radius of 2 ft and a height of 6 ft, what is its volume?

Back

Volume = (1/3) × π(2)²(6) = 8π ≈ 25.1 ft³.