Volume of prisms, pyramids, cones, cylinders, spheres

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

How do you find the volume of a cylinder?

Back

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

Front

What is the volume of a cone?

Back

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

Front

Define a prism.

Back

A solid shape with two parallel bases that are congruent and flat faces.

Front

What is the volume of a pyramid?

Back

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

Front

What is the volume of a sphere with a radius of 5 ft?

Back

V = (4/3)π(5)³ = 523.6 ft³.

Front

How do you calculate the volume of a cylinder with a diameter of 10 inches and a height of 20 inches?

Back

First, find the radius (r = 5 inches). Then, V = π(5)²(20) = 500π ≈ 1570.8 in³.

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × Radius.

Front

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

Back

V = (1/3)π(3)²(9) = 27π cm³ ≈ 84.82 cm³.

Front

What is the formula for the volume of a rectangular prism?

Back

V = l × w × h, where l is length, w is width, and h is height.