#4-4: Volume - Cylinders, Cones & Spheres

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

Front

How do you find the volume of a cone?

Back

The volume V of a cone is calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder.

Front

If a sphere has a radius of 5 cm, what is its volume?

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3)π(5)³ = 523.6 cm³.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 10 cm?

Back

Using the formula V = πr²h, the volume is V = π(3)²(10) = 282.74 cm³.

Front

How do you convert diameter to radius?

Back

The radius r is half of the diameter d. So, r = d/2.

Front

What is the volume of a cone with a base radius of 4 cm and a height of 9 cm?

Back

Using the formula V = (1/3)πr²h, the volume is V = (1/3)π(4)²(9) = 47.12 cm³.

Front

What is the relationship between the radius and diameter of a sphere?

Back

The diameter d of a sphere is twice the radius r. So, d = 2r.

Front

If a sphere has a diameter of 12 cm, what is its volume in terms of π?

Back

First, find the radius: r = 12/2 = 6 cm. Then, V = (4/3)π(6)³ = 288π cm³.

Front

What is the volume of a sphere with a radius of 7 inches?

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3)π(7)³ = 1436.76 in³.