Volume of Pyramids and Cones

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) × π × r² × Height

Front

What does 'r' represent in the volume formula for a cone?

Back

r represents the radius of the base of the cone.

Front

How do you calculate the base area of a triangle?

Back

Base Area = (1/2) × Base × Height

Front

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

Back

π is commonly approximated as 3.14.

Front

If the height of a pyramid is doubled, how does that affect the volume?

Back

The volume of the pyramid also doubles.

Front

What is the volume of a cone with a radius of 3 cm and a height of 5 cm?

Back

Volume = (1/3) × π × (3 cm)² × (5 cm) = 47.1 cm³ (using π ≈ 3.14).

Front

What is the volume of a pyramid with a base area of 20 m² and a height of 9 m?

Back

Volume = (1/3) × 20 m² × 9 m = 60 m³.

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.

Front

What is the volume of a cone with a radius of 4 m and a height of 6 m?

Back

Volume = (1/3) × π × (4 m)² × (6 m) = 50.3 m³ (using π ≈ 3.14).