Lesson 15A Volume of Pyramids and Cones

Front

What is the formula to find the volume of a cone?

Back

V=(⅓)π r²h

Front

What is the formula to find the volume of a pyramid?

Back

V=(1/3)Bh, where B is the area of the base and h is the height.

Front

Calculate the volume of a pyramid with a base area of 36 yd² and a height of 6 yd.

Back

72 yd³

Front

Calculate the volume of a pyramid with a base area of 32 ft² and a height of 3 ft.

Back

32 ft³

Front

What is the value of π (pi) used in volume calculations?

Back

Approximately 3.14.

Front

How do you find the base area of a cone?

Back

Base area of a cone is A=π r², where r is the radius.

Front

Calculate the volume of a cone with a radius of 5 m and a height of 12 m.

Back

100π m³ or approximately 314.16 m³.

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Front

If a cone has a volume of 2205.4 m³, what is its height if the radius is 7 m?

Back

Height h = (3V)/(πr²) = 2205.4 m³ / (π * 7²) = approximately 18 m.

Front

What is the volume of a cone with a radius of 3 cm and a height of 9 cm?

Back

27π cm³ or approximately 84.82 cm³.