Volume: Pyramid, Cone & Sphere

Front

What does the 'B' in the volume formula represent?

Back

The area of the base.

Front

What is the volume formula for a cone?

Back

V=(1/3)π r²h

Front

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

Back

V=(1/3)π(3²)(5) = 15π ≈ 47.12 cubic inches.

Front

What is the formula for the volume of a sphere?

Back

V=(4/3)π r³

Front

What is the volume of a sphere with a radius of 4 inches?

Back

V=(4/3)π(4³) = (4/3)π(64) ≈ 268.08 cubic inches.

Front

What is the formula for 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 square yards and a height of 9 yards.

Back

V=(1/3)(36)(9) = 108 cubic yards.

Front

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

Back

The volume of a cone is one-third that of a cylinder: V_cone = (1/3)V_cylinder.

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

V=π r²h = π(3²)(5) = 45π ≈ 141.37 cubic inches.

Front

What is the relationship between the volume of a cone and a sphere?

Back

A cone can be inscribed in a sphere, and their volumes can be compared based on their dimensions.